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Finding the Fourth Proportional to 3,154.35, 4,731.12 and 963.30

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Solution

The fourth proportional to 3,154.35, 4,731.12 and 963.30 is: 1,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.35 : 4,731.12 = 963.30 : x
  2. Step 2: Convert to fraction form
    3,154.35/4,731.12 = 963.30/x
  3. Step 3: Cross multiply
    3,154.35x = 4,731.12 × 963.30
  4. Step 4: Simplify right side
    3,154.35x = 4,557,487.90
  5. Step 5: Solve for x
    x = 4,557,487.90/3,154.35
  6. Step 6: Final answer
    x = 1,444.83

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1.5x scale

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.