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Finding the Fourth Proportional to 2,702.97, 3,730.14 and 1,524.05

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Solution

The fourth proportional to 2,702.97, 3,730.14 and 1,524.05 is: 2,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.97 : 3,730.14 = 1,524.05 : x
  2. Step 2: Convert to fraction form
    2,702.97/3,730.14 = 1,524.05/x
  3. Step 3: Cross multiply
    2,702.97x = 3,730.14 × 1,524.05
  4. Step 4: Simplify right side
    2,702.97x = 5,684,901.22
  5. Step 5: Solve for x
    x = 5,684,901.22/2,702.97
  6. Step 6: Final answer
    x = 2,103.21

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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.