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Finding the Fourth Proportional to 2,191.92, 3,287.88 and 2,044.28

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Solution

The fourth proportional to 2,191.92, 3,287.88 and 2,044.28 is: 3,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.92 : 3,287.88 = 2,044.28 : x
  2. Step 2: Convert to fraction form
    2,191.92/3,287.88 = 2,044.28/x
  3. Step 3: Cross multiply
    2,191.92x = 3,287.88 × 2,044.28
  4. Step 4: Simplify right side
    2,191.92x = 6,721,347.33
  5. Step 5: Solve for x
    x = 6,721,347.33/2,191.92
  6. Step 6: Final answer
    x = 3,066.42

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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.