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Finding the Fourth Proportional to 2,685.98, 4,027.32 and 2,456.79

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Solution

The fourth proportional to 2,685.98, 4,027.32 and 2,456.79 is: 3,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.98 : 4,027.32 = 2,456.79 : x
  2. Step 2: Convert to fraction form
    2,685.98/4,027.32 = 2,456.79/x
  3. Step 3: Cross multiply
    2,685.98x = 4,027.32 × 2,456.79
  4. Step 4: Simplify right side
    2,685.98x = 9,894,279.50
  5. Step 5: Solve for x
    x = 9,894,279.50/2,685.98
  6. Step 6: Final answer
    x = 3,683.68

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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.