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Finding the Fourth Proportional to 2,278.92, 3,144.34 and 1,283.82

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Solution

The fourth proportional to 2,278.92, 3,144.34 and 1,283.82 is: 1,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.92 : 3,144.34 = 1,283.82 : x
  2. Step 2: Convert to fraction form
    2,278.92/3,144.34 = 1,283.82/x
  3. Step 3: Cross multiply
    2,278.92x = 3,144.34 × 1,283.82
  4. Step 4: Simplify right side
    2,278.92x = 4,036,766.58
  5. Step 5: Solve for x
    x = 4,036,766.58/2,278.92
  6. Step 6: Final answer
    x = 1,771.35

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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.