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Finding the Fourth Proportional to 2,702.97, 3,732.17 and 1,710.63

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Solution

The fourth proportional to 2,702.97, 3,732.17 and 1,710.63 is: 2,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.97 : 3,732.17 = 1,710.63 : x
  2. Step 2: Convert to fraction form
    2,702.97/3,732.17 = 1,710.63/x
  3. Step 3: Cross multiply
    2,702.97x = 3,732.17 × 1,710.63
  4. Step 4: Simplify right side
    2,702.97x = 6,384,353.41
  5. Step 5: Solve for x
    x = 6,384,353.41/2,702.97
  6. Step 6: Final answer
    x = 2,361.98

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Why These Related Problems?

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