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Finding the Fourth Proportional to 1,966.32, 2,949.12 and 733.40

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Solution

The fourth proportional to 1,966.32, 2,949.12 and 733.40 is: 1,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.32 : 2,949.12 = 733.40 : x
  2. Step 2: Convert to fraction form
    1,966.32/2,949.12 = 733.40/x
  3. Step 3: Cross multiply
    1,966.32x = 2,949.12 × 733.40
  4. Step 4: Simplify right side
    1,966.32x = 2,162,884.61
  5. Step 5: Solve for x
    x = 2,162,884.61/1,966.32
  6. Step 6: Final answer
    x = 1,099.97

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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.