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Finding the Fourth Proportional to 2,607.32, 3,910.92 and 963.68

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Solution

The fourth proportional to 2,607.32, 3,910.92 and 963.68 is: 1,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.32 : 3,910.92 = 963.68 : x
  2. Step 2: Convert to fraction form
    2,607.32/3,910.92 = 963.68/x
  3. Step 3: Cross multiply
    2,607.32x = 3,910.92 × 963.68
  4. Step 4: Simplify right side
    2,607.32x = 3,768,875.39
  5. Step 5: Solve for x
    x = 3,768,875.39/2,607.32
  6. Step 6: Final answer
    x = 1,445.50

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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.