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Finding the Fourth Proportional to 3,478.14, 4,799.25 and 2,080.89

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Solution

The fourth proportional to 3,478.14, 4,799.25 and 2,080.89 is: 2,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.14 : 4,799.25 = 2,080.89 : x
  2. Step 2: Convert to fraction form
    3,478.14/4,799.25 = 2,080.89/x
  3. Step 3: Cross multiply
    3,478.14x = 4,799.25 × 2,080.89
  4. Step 4: Simplify right side
    3,478.14x = 9,986,711.33
  5. Step 5: Solve for x
    x = 9,986,711.33/3,478.14
  6. Step 6: Final answer
    x = 2,871.28

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