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Finding the Fourth Proportional to 2,517.61, 3,777.62 and 1,543.15

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Solution

The fourth proportional to 2,517.61, 3,777.62 and 1,543.15 is: 2,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.61 : 3,777.62 = 1,543.15 : x
  2. Step 2: Convert to fraction form
    2,517.61/3,777.62 = 1,543.15/x
  3. Step 3: Cross multiply
    2,517.61x = 3,777.62 × 1,543.15
  4. Step 4: Simplify right side
    2,517.61x = 5,829,426.59
  5. Step 5: Solve for x
    x = 5,829,426.59/2,517.61
  6. Step 6: Final answer
    x = 2,315.46

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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.