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Finding the Fourth Proportional to 2,279.48, 3,146.00 and 2,138.76

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Solution

The fourth proportional to 2,279.48, 3,146.00 and 2,138.76 is: 2,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.48 : 3,146.00 = 2,138.76 : x
  2. Step 2: Convert to fraction form
    2,279.48/3,146.00 = 2,138.76/x
  3. Step 3: Cross multiply
    2,279.48x = 3,146.00 × 2,138.76
  4. Step 4: Simplify right side
    2,279.48x = 6,728,528.27
  5. Step 5: Solve for x
    x = 6,728,528.27/2,279.48
  6. Step 6: Final answer
    x = 2,951.79

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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.