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Finding the Fourth Proportional to 2,023.20, 3,034.56 and 868.80

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Solution

The fourth proportional to 2,023.20, 3,034.56 and 868.80 is: 1,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.20 : 3,034.56 = 868.80 : x
  2. Step 2: Convert to fraction form
    2,023.20/3,034.56 = 868.80/x
  3. Step 3: Cross multiply
    2,023.20x = 3,034.56 × 868.80
  4. Step 4: Simplify right side
    2,023.20x = 2,636,425.73
  5. Step 5: Solve for x
    x = 2,636,425.73/2,023.20
  6. Step 6: Final answer
    x = 1,303.10

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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.