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Finding the Fourth Proportional to 2,702.43, 4,053.78 and 1,142.57

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Solution

The fourth proportional to 2,702.43, 4,053.78 and 1,142.57 is: 1,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.43 : 4,053.78 = 1,142.57 : x
  2. Step 2: Convert to fraction form
    2,702.43/4,053.78 = 1,142.57/x
  3. Step 3: Cross multiply
    2,702.43x = 4,053.78 × 1,142.57
  4. Step 4: Simplify right side
    2,702.43x = 4,631,737.55
  5. Step 5: Solve for x
    x = 4,631,737.55/2,702.43
  6. Step 6: Final answer
    x = 1,713.92

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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.