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Finding the Fourth Proportional to 2,167.16, 3,250.62 and 686.30

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Solution

The fourth proportional to 2,167.16, 3,250.62 and 686.30 is: 1,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.16 : 3,250.62 = 686.30 : x
  2. Step 2: Convert to fraction form
    2,167.16/3,250.62 = 686.30/x
  3. Step 3: Cross multiply
    2,167.16x = 3,250.62 × 686.30
  4. Step 4: Simplify right side
    2,167.16x = 2,230,884.25
  5. Step 5: Solve for x
    x = 2,230,884.25/2,167.16
  6. Step 6: Final answer
    x = 1,029.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.