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Finding the Fourth Proportional to 2,497.92, 3,447.06 and 1,449.96

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Solution

The fourth proportional to 2,497.92, 3,447.06 and 1,449.96 is: 2,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.92 : 3,447.06 = 1,449.96 : x
  2. Step 2: Convert to fraction form
    2,497.92/3,447.06 = 1,449.96/x
  3. Step 3: Cross multiply
    2,497.92x = 3,447.06 × 1,449.96
  4. Step 4: Simplify right side
    2,497.92x = 4,998,099.12
  5. Step 5: Solve for x
    x = 4,998,099.12/2,497.92
  6. Step 6: Final answer
    x = 2,000.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.