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Finding the Fourth Proportional to 1,967.96, 2,951.84 and 487.17

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Solution

The fourth proportional to 1,967.96, 2,951.84 and 487.17 is: 730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.96 : 2,951.84 = 487.17 : x
  2. Step 2: Convert to fraction form
    1,967.96/2,951.84 = 487.17/x
  3. Step 3: Cross multiply
    1,967.96x = 2,951.84 × 487.17
  4. Step 4: Simplify right side
    1,967.96x = 1,438,050.97
  5. Step 5: Solve for x
    x = 1,438,050.97/1,967.96
  6. Step 6: Final answer
    x = 730.73

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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.