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Finding the Fourth Proportional to 2,497.97, 3,746.96 and 2,177.21

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Solution

The fourth proportional to 2,497.97, 3,746.96 and 2,177.21 is: 3,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.97 : 3,746.96 = 2,177.21 : x
  2. Step 2: Convert to fraction form
    2,497.97/3,746.96 = 2,177.21/x
  3. Step 3: Cross multiply
    2,497.97x = 3,746.96 × 2,177.21
  4. Step 4: Simplify right side
    2,497.97x = 8,157,918.78
  5. Step 5: Solve for x
    x = 8,157,918.78/2,497.97
  6. Step 6: Final answer
    x = 3,265.82

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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.