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Finding the Fourth Proportional to 2,456.73, 3,658.37 and 2,330.78

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Solution

The fourth proportional to 2,456.73, 3,658.37 and 2,330.78 is: 3,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.73 : 3,658.37 = 2,330.78 : x
  2. Step 2: Convert to fraction form
    2,456.73/3,658.37 = 2,330.78/x
  3. Step 3: Cross multiply
    2,456.73x = 3,658.37 × 2,330.78
  4. Step 4: Simplify right side
    2,456.73x = 8,526,825.68
  5. Step 5: Solve for x
    x = 8,526,825.68/2,456.73
  6. Step 6: Final answer
    x = 3,470.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.