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Finding the Fourth Proportional to 2,167.45, 3,251.16 and 869.83

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Solution

The fourth proportional to 2,167.45, 3,251.16 and 869.83 is: 1,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.45 : 3,251.16 = 869.83 : x
  2. Step 2: Convert to fraction form
    2,167.45/3,251.16 = 869.83/x
  3. Step 3: Cross multiply
    2,167.45x = 3,251.16 × 869.83
  4. Step 4: Simplify right side
    2,167.45x = 2,827,956.50
  5. Step 5: Solve for x
    x = 2,827,956.50/2,167.45
  6. Step 6: Final answer
    x = 1,304.74

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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.