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Finding the Fourth Proportional to 2,167.48, 3,247.62 and 1,191.88

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Solution

The fourth proportional to 2,167.48, 3,247.62 and 1,191.88 is: 1,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.48 : 3,247.62 = 1,191.88 : x
  2. Step 2: Convert to fraction form
    2,167.48/3,247.62 = 1,191.88/x
  3. Step 3: Cross multiply
    2,167.48x = 3,247.62 × 1,191.88
  4. Step 4: Simplify right side
    2,167.48x = 3,870,773.33
  5. Step 5: Solve for x
    x = 3,870,773.33/2,167.48
  6. Step 6: Final answer
    x = 1,785.84

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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.