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Finding the Fourth Proportional to 2,660.98, 3,672.15 and 1,542.57

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Solution

The fourth proportional to 2,660.98, 3,672.15 and 1,542.57 is: 2,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.98 : 3,672.15 = 1,542.57 : x
  2. Step 2: Convert to fraction form
    2,660.98/3,672.15 = 1,542.57/x
  3. Step 3: Cross multiply
    2,660.98x = 3,672.15 × 1,542.57
  4. Step 4: Simplify right side
    2,660.98x = 5,664,526.21
  5. Step 5: Solve for x
    x = 5,664,526.21/2,660.98
  6. Step 6: Final answer
    x = 2,128.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.