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Finding the Fourth Proportional to 3,447.82, 5,170.84 and 1,597.12

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Solution

The fourth proportional to 3,447.82, 5,170.84 and 1,597.12 is: 2,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.82 : 5,170.84 = 1,597.12 : x
  2. Step 2: Convert to fraction form
    3,447.82/5,170.84 = 1,597.12/x
  3. Step 3: Cross multiply
    3,447.82x = 5,170.84 × 1,597.12
  4. Step 4: Simplify right side
    3,447.82x = 8,258,435.06
  5. Step 5: Solve for x
    x = 8,258,435.06/3,447.82
  6. Step 6: Final answer
    x = 2,395.27

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.