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Finding the Fourth Proportional to 2,432.92, 3,649.20 and 1,199.40

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Solution

The fourth proportional to 2,432.92, 3,649.20 and 1,199.40 is: 1,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.92 : 3,649.20 = 1,199.40 : x
  2. Step 2: Convert to fraction form
    2,432.92/3,649.20 = 1,199.40/x
  3. Step 3: Cross multiply
    2,432.92x = 3,649.20 × 1,199.40
  4. Step 4: Simplify right side
    2,432.92x = 4,376,850.48
  5. Step 5: Solve for x
    x = 4,376,850.48/2,432.92
  6. Step 6: Final answer
    x = 1,799.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.