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Finding the Fourth Proportional to 2,597.58, 3,581.96 and 1,712.25

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Solution

The fourth proportional to 2,597.58, 3,581.96 and 1,712.25 is: 2,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.58 : 3,581.96 = 1,712.25 : x
  2. Step 2: Convert to fraction form
    2,597.58/3,581.96 = 1,712.25/x
  3. Step 3: Cross multiply
    2,597.58x = 3,581.96 × 1,712.25
  4. Step 4: Simplify right side
    2,597.58x = 6,133,202.45
  5. Step 5: Solve for x
    x = 6,133,202.45/2,597.58
  6. Step 6: Final answer
    x = 2,361.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.