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Finding the Fourth Proportional to 2,456.34, 3,684.10 and 724.56

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Solution

The fourth proportional to 2,456.34, 3,684.10 and 724.56 is: 1,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.34 : 3,684.10 = 724.56 : x
  2. Step 2: Convert to fraction form
    2,456.34/3,684.10 = 724.56/x
  3. Step 3: Cross multiply
    2,456.34x = 3,684.10 × 724.56
  4. Step 4: Simplify right side
    2,456.34x = 2,669,351.50
  5. Step 5: Solve for x
    x = 2,669,351.50/2,456.34
  6. Step 6: Final answer
    x = 1,086.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.