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Finding the Fourth Proportional to 2,456.48, 3,685.92 and 995.84

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Solution

The fourth proportional to 2,456.48, 3,685.92 and 995.84 is: 1,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.48 : 3,685.92 = 995.84 : x
  2. Step 2: Convert to fraction form
    2,456.48/3,685.92 = 995.84/x
  3. Step 3: Cross multiply
    2,456.48x = 3,685.92 × 995.84
  4. Step 4: Simplify right side
    2,456.48x = 3,670,586.57
  5. Step 5: Solve for x
    x = 3,670,586.57/2,456.48
  6. Step 6: Final answer
    x = 1,494.25

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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.