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Finding the Fourth Proportional to 2,456.85, 3,685.82 and 725.43

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Solution

The fourth proportional to 2,456.85, 3,685.82 and 725.43 is: 1,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.85 : 3,685.82 = 725.43 : x
  2. Step 2: Convert to fraction form
    2,456.85/3,685.82 = 725.43/x
  3. Step 3: Cross multiply
    2,456.85x = 3,685.82 × 725.43
  4. Step 4: Simplify right side
    2,456.85x = 2,673,800.78
  5. Step 5: Solve for x
    x = 2,673,800.78/2,456.85
  6. Step 6: Final answer
    x = 1,088.30

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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.