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Finding the Fourth Proportional to 2,951.50, 4,426.56 and 871.64

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Solution

The fourth proportional to 2,951.50, 4,426.56 and 871.64 is: 1,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.50 : 4,426.56 = 871.64 : x
  2. Step 2: Convert to fraction form
    2,951.50/4,426.56 = 871.64/x
  3. Step 3: Cross multiply
    2,951.50x = 4,426.56 × 871.64
  4. Step 4: Simplify right side
    2,951.50x = 3,858,366.76
  5. Step 5: Solve for x
    x = 3,858,366.76/2,951.50
  6. Step 6: Final answer
    x = 1,307.26

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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.