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Finding the Fourth Proportional to 2,541.78, 3,499.20 and 2,279.34

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Solution

The fourth proportional to 2,541.78, 3,499.20 and 2,279.34 is: 3,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.78 : 3,499.20 = 2,279.34 : x
  2. Step 2: Convert to fraction form
    2,541.78/3,499.20 = 2,279.34/x
  3. Step 3: Cross multiply
    2,541.78x = 3,499.20 × 2,279.34
  4. Step 4: Simplify right side
    2,541.78x = 7,975,866.53
  5. Step 5: Solve for x
    x = 7,975,866.53/2,541.78
  6. Step 6: Final answer
    x = 3,137.91

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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.