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Finding the Fourth Proportional to 2,497.92, 3,745.68 and 1,199.76

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Solution

The fourth proportional to 2,497.92, 3,745.68 and 1,199.76 is: 1,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.92 : 3,745.68 = 1,199.76 : x
  2. Step 2: Convert to fraction form
    2,497.92/3,745.68 = 1,199.76/x
  3. Step 3: Cross multiply
    2,497.92x = 3,745.68 × 1,199.76
  4. Step 4: Simplify right side
    2,497.92x = 4,493,917.04
  5. Step 5: Solve for x
    x = 4,493,917.04/2,497.92
  6. Step 6: Final answer
    x = 1,799.06

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1.5x scale

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.