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Finding the Fourth Proportional to 3,154.37, 4,732.25 and 963.26

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Solution

The fourth proportional to 3,154.37, 4,732.25 and 963.26 is: 1,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.37 : 4,732.25 = 963.26 : x
  2. Step 2: Convert to fraction form
    3,154.37/4,732.25 = 963.26/x
  3. Step 3: Cross multiply
    3,154.37x = 4,732.25 × 963.26
  4. Step 4: Simplify right side
    3,154.37x = 4,558,358.66
  5. Step 5: Solve for x
    x = 4,558,358.66/3,154.37
  6. Step 6: Final answer
    x = 1,445.10

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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.