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Finding the Fourth Proportional to 2,251.41, 3,377.06 and 1,264.22

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Solution

The fourth proportional to 2,251.41, 3,377.06 and 1,264.22 is: 1,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.41 : 3,377.06 = 1,264.22 : x
  2. Step 2: Convert to fraction form
    2,251.41/3,377.06 = 1,264.22/x
  3. Step 3: Cross multiply
    2,251.41x = 3,377.06 × 1,264.22
  4. Step 4: Simplify right side
    2,251.41x = 4,269,348.91
  5. Step 5: Solve for x
    x = 4,269,348.91/2,251.41
  6. Step 6: Final answer
    x = 1,896.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.