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Finding the Fourth Proportional to 2,572.15, 3,854.17 and 1,988.57

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Solution

The fourth proportional to 2,572.15, 3,854.17 and 1,988.57 is: 2,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.15 : 3,854.17 = 1,988.57 : x
  2. Step 2: Convert to fraction form
    2,572.15/3,854.17 = 1,988.57/x
  3. Step 3: Cross multiply
    2,572.15x = 3,854.17 × 1,988.57
  4. Step 4: Simplify right side
    2,572.15x = 7,664,276.89
  5. Step 5: Solve for x
    x = 7,664,276.89/2,572.15
  6. Step 6: Final answer
    x = 2,979.72

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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.