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Finding the Fourth Proportional to 2,279.82, 3,145.90 and 1,285.02

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Solution

The fourth proportional to 2,279.82, 3,145.90 and 1,285.02 is: 1,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.82 : 3,145.90 = 1,285.02 : x
  2. Step 2: Convert to fraction form
    2,279.82/3,145.90 = 1,285.02/x
  3. Step 3: Cross multiply
    2,279.82x = 3,145.90 × 1,285.02
  4. Step 4: Simplify right side
    2,279.82x = 4,042,544.42
  5. Step 5: Solve for x
    x = 4,042,544.42/2,279.82
  6. Step 6: Final answer
    x = 1,773.19

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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.