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Finding the Fourth Proportional to 2,195.47, 3,029.81 and 1,251.23

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Solution

The fourth proportional to 2,195.47, 3,029.81 and 1,251.23 is: 1,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.47 : 3,029.81 = 1,251.23 : x
  2. Step 2: Convert to fraction form
    2,195.47/3,029.81 = 1,251.23/x
  3. Step 3: Cross multiply
    2,195.47x = 3,029.81 × 1,251.23
  4. Step 4: Simplify right side
    2,195.47x = 3,790,999.87
  5. Step 5: Solve for x
    x = 3,790,999.87/2,195.47
  6. Step 6: Final answer
    x = 1,726.74

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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.