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Finding the Fourth Proportional to 2,799.68, 4,217.84 and 2,120

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Solution

The fourth proportional to 2,799.68, 4,217.84 and 2,120 is: 3,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.68 : 4,217.84 = 2,120 : x
  2. Step 2: Convert to fraction form
    2,799.68/4,217.84 = 2,120/x
  3. Step 3: Cross multiply
    2,799.68x = 4,217.84 × 2,120
  4. Step 4: Simplify right side
    2,799.68x = 8,941,820.80
  5. Step 5: Solve for x
    x = 8,941,820.80/2,799.68
  6. Step 6: Final answer
    x = 3,193.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.