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Finding the Fourth Proportional to 2,167.02, 3,250.53 and 869.38

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Solution

The fourth proportional to 2,167.02, 3,250.53 and 869.38 is: 1,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.02 : 3,250.53 = 869.38 : x
  2. Step 2: Convert to fraction form
    2,167.02/3,250.53 = 869.38/x
  3. Step 3: Cross multiply
    2,167.02x = 3,250.53 × 869.38
  4. Step 4: Simplify right side
    2,167.02x = 2,825,945.77
  5. Step 5: Solve for x
    x = 2,825,945.77/2,167.02
  6. Step 6: Final answer
    x = 1,304.07

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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.