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Finding the Fourth Proportional to 2,296.36, 3,168.87 and 1,352.11

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Solution

The fourth proportional to 2,296.36, 3,168.87 and 1,352.11 is: 1,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.36 : 3,168.87 = 1,352.11 : x
  2. Step 2: Convert to fraction form
    2,296.36/3,168.87 = 1,352.11/x
  3. Step 3: Cross multiply
    2,296.36x = 3,168.87 × 1,352.11
  4. Step 4: Simplify right side
    2,296.36x = 4,284,660.82
  5. Step 5: Solve for x
    x = 4,284,660.82/2,296.36
  6. Step 6: Final answer
    x = 1,865.85

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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.