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Finding the Fourth Proportional to 2,738.93, 3,778.80 and 1,559.17

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Solution

The fourth proportional to 2,738.93, 3,778.80 and 1,559.17 is: 2,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.93 : 3,778.80 = 1,559.17 : x
  2. Step 2: Convert to fraction form
    2,738.93/3,778.80 = 1,559.17/x
  3. Step 3: Cross multiply
    2,738.93x = 3,778.80 × 1,559.17
  4. Step 4: Simplify right side
    2,738.93x = 5,891,772.70
  5. Step 5: Solve for x
    x = 5,891,772.70/2,738.93
  6. Step 6: Final answer
    x = 2,151.12

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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.