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Finding the Fourth Proportional to 2,252.92, 3,109.02 and 1,309.26

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Solution

The fourth proportional to 2,252.92, 3,109.02 and 1,309.26 is: 1,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.92 : 3,109.02 = 1,309.26 : x
  2. Step 2: Convert to fraction form
    2,252.92/3,109.02 = 1,309.26/x
  3. Step 3: Cross multiply
    2,252.92x = 3,109.02 × 1,309.26
  4. Step 4: Simplify right side
    2,252.92x = 4,070,496.04
  5. Step 5: Solve for x
    x = 4,070,496.04/2,252.92
  6. Step 6: Final answer
    x = 1,806.76

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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.