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Finding the Fourth Proportional to 2,296.48, 3,171.74 and 1,778.80

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Solution

The fourth proportional to 2,296.48, 3,171.74 and 1,778.80 is: 2,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.48 : 3,171.74 = 1,778.80 : x
  2. Step 2: Convert to fraction form
    2,296.48/3,171.74 = 1,778.80/x
  3. Step 3: Cross multiply
    2,296.48x = 3,171.74 × 1,778.80
  4. Step 4: Simplify right side
    2,296.48x = 5,641,891.11
  5. Step 5: Solve for x
    x = 5,641,891.11/2,296.48
  6. Step 6: Final answer
    x = 2,456.76

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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.