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Finding the Fourth Proportional to 3,154.87, 4,732.13 and 963.42

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Solution

The fourth proportional to 3,154.87, 4,732.13 and 963.42 is: 1,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.87 : 4,732.13 = 963.42 : x
  2. Step 2: Convert to fraction form
    3,154.87/4,732.13 = 963.42/x
  3. Step 3: Cross multiply
    3,154.87x = 4,732.13 × 963.42
  4. Step 4: Simplify right side
    3,154.87x = 4,559,034.55
  5. Step 5: Solve for x
    x = 4,559,034.55/3,154.87
  6. Step 6: Final answer
    x = 1,445.08

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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.