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Finding the Fourth Proportional to 2,726.20, 3,764.46 and 2,022.20

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Solution

The fourth proportional to 2,726.20, 3,764.46 and 2,022.20 is: 2,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.20 : 3,764.46 = 2,022.20 : x
  2. Step 2: Convert to fraction form
    2,726.20/3,764.46 = 2,022.20/x
  3. Step 3: Cross multiply
    2,726.20x = 3,764.46 × 2,022.20
  4. Step 4: Simplify right side
    2,726.20x = 7,612,491.01
  5. Step 5: Solve for x
    x = 7,612,491.01/2,726.20
  6. Step 6: Final answer
    x = 2,792.35

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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.