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Finding the Fourth Proportional to 2,296.34, 3,168.68 and 1,351.92

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Solution

The fourth proportional to 2,296.34, 3,168.68 and 1,351.92 is: 1,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.34 : 3,168.68 = 1,351.92 : x
  2. Step 2: Convert to fraction form
    2,296.34/3,168.68 = 1,351.92/x
  3. Step 3: Cross multiply
    2,296.34x = 3,168.68 × 1,351.92
  4. Step 4: Simplify right side
    2,296.34x = 4,283,789.16
  5. Step 5: Solve for x
    x = 4,283,789.16/2,296.34
  6. Step 6: Final answer
    x = 1,865.49

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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.