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Finding the Fourth Proportional to 2,296.86, 3,169.68 and 1,248.92

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Solution

The fourth proportional to 2,296.86, 3,169.68 and 1,248.92 is: 1,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.86 : 3,169.68 = 1,248.92 : x
  2. Step 2: Convert to fraction form
    2,296.86/3,169.68 = 1,248.92/x
  3. Step 3: Cross multiply
    2,296.86x = 3,169.68 × 1,248.92
  4. Step 4: Simplify right side
    2,296.86x = 3,958,676.75
  5. Step 5: Solve for x
    x = 3,958,676.75/2,296.86
  6. Step 6: Final answer
    x = 1,723.52

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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.