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Finding the Fourth Proportional to 3,109.68, 4,289.92 and 2,167.78

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Solution

The fourth proportional to 3,109.68, 4,289.92 and 2,167.78 is: 2,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.68 : 4,289.92 = 2,167.78 : x
  2. Step 2: Convert to fraction form
    3,109.68/4,289.92 = 2,167.78/x
  3. Step 3: Cross multiply
    3,109.68x = 4,289.92 × 2,167.78
  4. Step 4: Simplify right side
    3,109.68x = 9,299,602.78
  5. Step 5: Solve for x
    x = 9,299,602.78/3,109.68
  6. Step 6: Final answer
    x = 2,990.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.