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Finding the Fourth Proportional to 2,279.92, 3,146.34 and 1,285.16

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Solution

The fourth proportional to 2,279.92, 3,146.34 and 1,285.16 is: 1,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.92 : 3,146.34 = 1,285.16 : x
  2. Step 2: Convert to fraction form
    2,279.92/3,146.34 = 1,285.16/x
  3. Step 3: Cross multiply
    2,279.92x = 3,146.34 × 1,285.16
  4. Step 4: Simplify right side
    2,279.92x = 4,043,550.31
  5. Step 5: Solve for x
    x = 4,043,550.31/2,279.92
  6. Step 6: Final answer
    x = 1,773.55

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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.