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Finding the Fourth Proportional to 2,195.63, 3,029.86 and 1,251.46

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Solution

The fourth proportional to 2,195.63, 3,029.86 and 1,251.46 is: 1,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.63 : 3,029.86 = 1,251.46 : x
  2. Step 2: Convert to fraction form
    2,195.63/3,029.86 = 1,251.46/x
  3. Step 3: Cross multiply
    2,195.63x = 3,029.86 × 1,251.46
  4. Step 4: Simplify right side
    2,195.63x = 3,791,753.95
  5. Step 5: Solve for x
    x = 3,791,753.95/2,195.63
  6. Step 6: Final answer
    x = 1,726.96

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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.