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Finding the Fourth Proportional to 2,348.44, 3,240.74 and 1,286.18

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Solution

The fourth proportional to 2,348.44, 3,240.74 and 1,286.18 is: 1,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.44 : 3,240.74 = 1,286.18 : x
  2. Step 2: Convert to fraction form
    2,348.44/3,240.74 = 1,286.18/x
  3. Step 3: Cross multiply
    2,348.44x = 3,240.74 × 1,286.18
  4. Step 4: Simplify right side
    2,348.44x = 4,168,174.97
  5. Step 5: Solve for x
    x = 4,168,174.97/2,348.44
  6. Step 6: Final answer
    x = 1,774.87

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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.