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Finding the Fourth Proportional to 2,279.71, 3,146.07 and 1,285.03

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Solution

The fourth proportional to 2,279.71, 3,146.07 and 1,285.03 is: 1,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.71 : 3,146.07 = 1,285.03 : x
  2. Step 2: Convert to fraction form
    2,279.71/3,146.07 = 1,285.03/x
  3. Step 3: Cross multiply
    2,279.71x = 3,146.07 × 1,285.03
  4. Step 4: Simplify right side
    2,279.71x = 4,042,794.33
  5. Step 5: Solve for x
    x = 4,042,794.33/2,279.71
  6. Step 6: Final answer
    x = 1,773.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.