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Finding the Fourth Proportional to 2,279.83, 3,418.57 and 1,046.17

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Solution

The fourth proportional to 2,279.83, 3,418.57 and 1,046.17 is: 1,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.83 : 3,418.57 = 1,046.17 : x
  2. Step 2: Convert to fraction form
    2,279.83/3,418.57 = 1,046.17/x
  3. Step 3: Cross multiply
    2,279.83x = 3,418.57 × 1,046.17
  4. Step 4: Simplify right side
    2,279.83x = 3,576,405.38
  5. Step 5: Solve for x
    x = 3,576,405.38/2,279.83
  6. Step 6: Final answer
    x = 1,568.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.