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Finding the Fourth Proportional to 1,967.52, 2,951.38 and 871.90

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Solution

The fourth proportional to 1,967.52, 2,951.38 and 871.90 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.52 : 2,951.38 = 871.90 : x
  2. Step 2: Convert to fraction form
    1,967.52/2,951.38 = 871.90/x
  3. Step 3: Cross multiply
    1,967.52x = 2,951.38 × 871.90
  4. Step 4: Simplify right side
    1,967.52x = 2,573,308.22
  5. Step 5: Solve for x
    x = 2,573,308.22/1,967.52
  6. Step 6: Final answer
    x = 1,307.89

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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.