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Finding the Fourth Proportional to 2,064.19, 3,093.92 and 830.81

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Solution

The fourth proportional to 2,064.19, 3,093.92 and 830.81 is: 1,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.19 : 3,093.92 = 830.81 : x
  2. Step 2: Convert to fraction form
    2,064.19/3,093.92 = 830.81/x
  3. Step 3: Cross multiply
    2,064.19x = 3,093.92 × 830.81
  4. Step 4: Simplify right side
    2,064.19x = 2,570,459.68
  5. Step 5: Solve for x
    x = 2,570,459.68/2,064.19
  6. Step 6: Final answer
    x = 1,245.26

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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.