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Finding the Fourth Proportional to 2,092.02, 3,138.04 and 532.14

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Solution

The fourth proportional to 2,092.02, 3,138.04 and 532.14 is: 798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.02 : 3,138.04 = 532.14 : x
  2. Step 2: Convert to fraction form
    2,092.02/3,138.04 = 532.14/x
  3. Step 3: Cross multiply
    2,092.02x = 3,138.04 × 532.14
  4. Step 4: Simplify right side
    2,092.02x = 1,669,876.61
  5. Step 5: Solve for x
    x = 1,669,876.61/2,092.02
  6. Step 6: Final answer
    x = 798.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.