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Finding the Fourth Proportional to 2,277.78, 3,143.13 and 1,393.44

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Solution

The fourth proportional to 2,277.78, 3,143.13 and 1,393.44 is: 1,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.78 : 3,143.13 = 1,393.44 : x
  2. Step 2: Convert to fraction form
    2,277.78/3,143.13 = 1,393.44/x
  3. Step 3: Cross multiply
    2,277.78x = 3,143.13 × 1,393.44
  4. Step 4: Simplify right side
    2,277.78x = 4,379,763.07
  5. Step 5: Solve for x
    x = 4,379,763.07/2,277.78
  6. Step 6: Final answer
    x = 1,922.82

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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.