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Finding the Fourth Proportional to 2,504.92, 3,456.12 and 1,456.78

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Solution

The fourth proportional to 2,504.92, 3,456.12 and 1,456.78 is: 2,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.92 : 3,456.12 = 1,456.78 : x
  2. Step 2: Convert to fraction form
    2,504.92/3,456.12 = 1,456.78/x
  3. Step 3: Cross multiply
    2,504.92x = 3,456.12 × 1,456.78
  4. Step 4: Simplify right side
    2,504.92x = 5,034,806.49
  5. Step 5: Solve for x
    x = 5,034,806.49/2,504.92
  6. Step 6: Final answer
    x = 2,009.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.