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Finding the Fourth Proportional to 1,964.76, 2,947.14 and 732.15

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Solution

The fourth proportional to 1,964.76, 2,947.14 and 732.15 is: 1,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.76 : 2,947.14 = 732.15 : x
  2. Step 2: Convert to fraction form
    1,964.76/2,947.14 = 732.15/x
  3. Step 3: Cross multiply
    1,964.76x = 2,947.14 × 732.15
  4. Step 4: Simplify right side
    1,964.76x = 2,157,748.55
  5. Step 5: Solve for x
    x = 2,157,748.55/1,964.76
  6. Step 6: Final answer
    x = 1,098.23

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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.