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Finding the Fourth Proportional to 2,167.65, 3,251.57 and 780.93

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Solution

The fourth proportional to 2,167.65, 3,251.57 and 780.93 is: 1,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.65 : 3,251.57 = 780.93 : x
  2. Step 2: Convert to fraction form
    2,167.65/3,251.57 = 780.93/x
  3. Step 3: Cross multiply
    2,167.65x = 3,251.57 × 780.93
  4. Step 4: Simplify right side
    2,167.65x = 2,539,248.56
  5. Step 5: Solve for x
    x = 2,539,248.56/2,167.65
  6. Step 6: Final answer
    x = 1,171.43

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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.