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Finding the Fourth Proportional to 2,702.97, 3,730.02 and 1,524

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Solution

The fourth proportional to 2,702.97, 3,730.02 and 1,524 is: 2,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.97 : 3,730.02 = 1,524 : x
  2. Step 2: Convert to fraction form
    2,702.97/3,730.02 = 1,524/x
  3. Step 3: Cross multiply
    2,702.97x = 3,730.02 × 1,524
  4. Step 4: Simplify right side
    2,702.97x = 5,684,550.48
  5. Step 5: Solve for x
    x = 5,684,550.48/2,702.97
  6. Step 6: Final answer
    x = 2,103.08

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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.