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Finding the Fourth Proportional to 2,077.68, 3,103.05 and 1,882.29

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Solution

The fourth proportional to 2,077.68, 3,103.05 and 1,882.29 is: 2,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.68 : 3,103.05 = 1,882.29 : x
  2. Step 2: Convert to fraction form
    2,077.68/3,103.05 = 1,882.29/x
  3. Step 3: Cross multiply
    2,077.68x = 3,103.05 × 1,882.29
  4. Step 4: Simplify right side
    2,077.68x = 5,840,839.98
  5. Step 5: Solve for x
    x = 5,840,839.98/2,077.68
  6. Step 6: Final answer
    x = 2,811.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.