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Finding the Fourth Proportional to 3,154.98, 4,732.98 and 963.53

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Solution

The fourth proportional to 3,154.98, 4,732.98 and 963.53 is: 1,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.98 : 4,732.98 = 963.53 : x
  2. Step 2: Convert to fraction form
    3,154.98/4,732.98 = 963.53/x
  3. Step 3: Cross multiply
    3,154.98x = 4,732.98 × 963.53
  4. Step 4: Simplify right side
    3,154.98x = 4,560,339.74
  5. Step 5: Solve for x
    x = 4,560,339.74/3,154.98
  6. Step 6: Final answer
    x = 1,445.44

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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.