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Finding the Fourth Proportional to 1,612.56, 2,419.13 and 625.30

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Solution

The fourth proportional to 1,612.56, 2,419.13 and 625.30 is: 938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.56 : 2,419.13 = 625.30 : x
  2. Step 2: Convert to fraction form
    1,612.56/2,419.13 = 625.30/x
  3. Step 3: Cross multiply
    1,612.56x = 2,419.13 × 625.30
  4. Step 4: Simplify right side
    1,612.56x = 1,512,681.99
  5. Step 5: Solve for x
    x = 1,512,681.99/1,612.56
  6. Step 6: Final answer
    x = 938.06

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