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Finding the Fourth Proportional to 3,272.46, 4,908.65 and 963.96

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Solution

The fourth proportional to 3,272.46, 4,908.65 and 963.96 is: 1,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.46 : 4,908.65 = 963.96 : x
  2. Step 2: Convert to fraction form
    3,272.46/4,908.65 = 963.96/x
  3. Step 3: Cross multiply
    3,272.46x = 4,908.65 × 963.96
  4. Step 4: Simplify right side
    3,272.46x = 4,731,737.43
  5. Step 5: Solve for x
    x = 4,731,737.43/3,272.46
  6. Step 6: Final answer
    x = 1,445.93

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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.