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Finding the Fourth Proportional to 2,296.64, 3,169.42 and 1,248.78

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Solution

The fourth proportional to 2,296.64, 3,169.42 and 1,248.78 is: 1,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.64 : 3,169.42 = 1,248.78 : x
  2. Step 2: Convert to fraction form
    2,296.64/3,169.42 = 1,248.78/x
  3. Step 3: Cross multiply
    2,296.64x = 3,169.42 × 1,248.78
  4. Step 4: Simplify right side
    2,296.64x = 3,957,908.31
  5. Step 5: Solve for x
    x = 3,957,908.31/2,296.64
  6. Step 6: Final answer
    x = 1,723.35

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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.