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Finding the Fourth Proportional to 2,279.72, 3,145.86 and 1,284.86

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Solution

The fourth proportional to 2,279.72, 3,145.86 and 1,284.86 is: 1,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.72 : 3,145.86 = 1,284.86 : x
  2. Step 2: Convert to fraction form
    2,279.72/3,145.86 = 1,284.86/x
  3. Step 3: Cross multiply
    2,279.72x = 3,145.86 × 1,284.86
  4. Step 4: Simplify right side
    2,279.72x = 4,042,001.16
  5. Step 5: Solve for x
    x = 4,042,001.16/2,279.72
  6. Step 6: Final answer
    x = 1,773.03

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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.