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Finding the Fourth Proportional to 2,468.96, 3,702.05 and 824.61

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Solution

The fourth proportional to 2,468.96, 3,702.05 and 824.61 is: 1,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.96 : 3,702.05 = 824.61 : x
  2. Step 2: Convert to fraction form
    2,468.96/3,702.05 = 824.61/x
  3. Step 3: Cross multiply
    2,468.96x = 3,702.05 × 824.61
  4. Step 4: Simplify right side
    2,468.96x = 3,052,743.33
  5. Step 5: Solve for x
    x = 3,052,743.33/2,468.96
  6. Step 6: Final answer
    x = 1,236.45

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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.