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Finding the Fourth Proportional to 1,617.20, 2,424.56 and 750.88

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Solution

The fourth proportional to 1,617.20, 2,424.56 and 750.88 is: 1,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.20 : 2,424.56 = 750.88 : x
  2. Step 2: Convert to fraction form
    1,617.20/2,424.56 = 750.88/x
  3. Step 3: Cross multiply
    1,617.20x = 2,424.56 × 750.88
  4. Step 4: Simplify right side
    1,617.20x = 1,820,553.61
  5. Step 5: Solve for x
    x = 1,820,553.61/1,617.20
  6. Step 6: Final answer
    x = 1,125.74

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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.