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Finding the Fourth Proportional to 2,296.50, 3,169.89 and 1,352.22

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Solution

The fourth proportional to 2,296.50, 3,169.89 and 1,352.22 is: 1,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.50 : 3,169.89 = 1,352.22 : x
  2. Step 2: Convert to fraction form
    2,296.50/3,169.89 = 1,352.22/x
  3. Step 3: Cross multiply
    2,296.50x = 3,169.89 × 1,352.22
  4. Step 4: Simplify right side
    2,296.50x = 4,286,366.05
  5. Step 5: Solve for x
    x = 4,286,366.05/2,296.50
  6. Step 6: Final answer
    x = 1,866.48

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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.