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Finding the Fourth Proportional to 1,592.68, 2,387.28 and 1,045.24

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Solution

The fourth proportional to 1,592.68, 2,387.28 and 1,045.24 is: 1,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.68 : 2,387.28 = 1,045.24 : x
  2. Step 2: Convert to fraction form
    1,592.68/2,387.28 = 1,045.24/x
  3. Step 3: Cross multiply
    1,592.68x = 2,387.28 × 1,045.24
  4. Step 4: Simplify right side
    1,592.68x = 2,495,280.55
  5. Step 5: Solve for x
    x = 2,495,280.55/1,592.68
  6. Step 6: Final answer
    x = 1,566.72

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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.