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Finding the Fourth Proportional to 2,456.98, 3,685.47 and 2,023.22

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Solution

The fourth proportional to 2,456.98, 3,685.47 and 2,023.22 is: 3,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.98 : 3,685.47 = 2,023.22 : x
  2. Step 2: Convert to fraction form
    2,456.98/3,685.47 = 2,023.22/x
  3. Step 3: Cross multiply
    2,456.98x = 3,685.47 × 2,023.22
  4. Step 4: Simplify right side
    2,456.98x = 7,456,516.61
  5. Step 5: Solve for x
    x = 7,456,516.61/2,456.98
  6. Step 6: Final answer
    x = 3,034.83

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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.