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Finding the Fourth Proportional to 2,022.90, 3,034.54 and 724.86

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Solution

The fourth proportional to 2,022.90, 3,034.54 and 724.86 is: 1,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.90 : 3,034.54 = 724.86 : x
  2. Step 2: Convert to fraction form
    2,022.90/3,034.54 = 724.86/x
  3. Step 3: Cross multiply
    2,022.90x = 3,034.54 × 724.86
  4. Step 4: Simplify right side
    2,022.90x = 2,199,616.66
  5. Step 5: Solve for x
    x = 2,199,616.66/2,022.90
  6. Step 6: Final answer
    x = 1,087.36

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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.