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Finding the Fourth Proportional to 2,456.64, 3,685.36 and 995.92

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Solution

The fourth proportional to 2,456.64, 3,685.36 and 995.92 is: 1,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.64 : 3,685.36 = 995.92 : x
  2. Step 2: Convert to fraction form
    2,456.64/3,685.36 = 995.92/x
  3. Step 3: Cross multiply
    2,456.64x = 3,685.36 × 995.92
  4. Step 4: Simplify right side
    2,456.64x = 3,670,323.73
  5. Step 5: Solve for x
    x = 3,670,323.73/2,456.64
  6. Step 6: Final answer
    x = 1,494.04

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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.