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Finding the Fourth Proportional to 2,607.86, 3,909.38 and 963.16

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Solution

The fourth proportional to 2,607.86, 3,909.38 and 963.16 is: 1,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.86 : 3,909.38 = 963.16 : x
  2. Step 2: Convert to fraction form
    2,607.86/3,909.38 = 963.16/x
  3. Step 3: Cross multiply
    2,607.86x = 3,909.38 × 963.16
  4. Step 4: Simplify right side
    2,607.86x = 3,765,358.44
  5. Step 5: Solve for x
    x = 3,765,358.44/2,607.86
  6. Step 6: Final answer
    x = 1,443.85

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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.