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Finding the Fourth Proportional to 1,934.78, 2,902.16 and 473.92

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Solution

The fourth proportional to 1,934.78, 2,902.16 and 473.92 is: 710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.78 : 2,902.16 = 473.92 : x
  2. Step 2: Convert to fraction form
    1,934.78/2,902.16 = 473.92/x
  3. Step 3: Cross multiply
    1,934.78x = 2,902.16 × 473.92
  4. Step 4: Simplify right side
    1,934.78x = 1,375,385.60
  5. Step 5: Solve for x
    x = 1,375,385.60/1,934.78
  6. Step 6: Final answer
    x = 710.88

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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.