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Finding the Fourth Proportional to 3,154.74, 4,732.81 and 963.63

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Solution

The fourth proportional to 3,154.74, 4,732.81 and 963.63 is: 1,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.74 : 4,732.81 = 963.63 : x
  2. Step 2: Convert to fraction form
    3,154.74/4,732.81 = 963.63/x
  3. Step 3: Cross multiply
    3,154.74x = 4,732.81 × 963.63
  4. Step 4: Simplify right side
    3,154.74x = 4,560,677.70
  5. Step 5: Solve for x
    x = 4,560,677.70/3,154.74
  6. Step 6: Final answer
    x = 1,445.66

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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.