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Finding the Fourth Proportional to 1,966.38, 2,949.17 and 579.35

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Solution

The fourth proportional to 1,966.38, 2,949.17 and 579.35 is: 868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.38 : 2,949.17 = 579.35 : x
  2. Step 2: Convert to fraction form
    1,966.38/2,949.17 = 579.35/x
  3. Step 3: Cross multiply
    1,966.38x = 2,949.17 × 579.35
  4. Step 4: Simplify right side
    1,966.38x = 1,708,584.00
  5. Step 5: Solve for x
    x = 1,708,584.00/1,966.38
  6. Step 6: Final answer
    x = 868.90

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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.