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Finding the Fourth Proportional to 2,778.80, 3,833.46 and 1,882.22

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Solution

The fourth proportional to 2,778.80, 3,833.46 and 1,882.22 is: 2,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.80 : 3,833.46 = 1,882.22 : x
  2. Step 2: Convert to fraction form
    2,778.80/3,833.46 = 1,882.22/x
  3. Step 3: Cross multiply
    2,778.80x = 3,833.46 × 1,882.22
  4. Step 4: Simplify right side
    2,778.80x = 7,215,395.91
  5. Step 5: Solve for x
    x = 7,215,395.91/2,778.80
  6. Step 6: Final answer
    x = 2,596.59

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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.