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Finding the Fourth Proportional to 2,546.97, 3,488.48 and 2,397.53

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Solution

The fourth proportional to 2,546.97, 3,488.48 and 2,397.53 is: 3,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.97 : 3,488.48 = 2,397.53 : x
  2. Step 2: Convert to fraction form
    2,546.97/3,488.48 = 2,397.53/x
  3. Step 3: Cross multiply
    2,546.97x = 3,488.48 × 2,397.53
  4. Step 4: Simplify right side
    2,546.97x = 8,363,706.02
  5. Step 5: Solve for x
    x = 8,363,706.02/2,546.97
  6. Step 6: Final answer
    x = 3,283.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.