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Finding the Fourth Proportional to 2,427.57, 3,348.95 and 2,148.12

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Solution

The fourth proportional to 2,427.57, 3,348.95 and 2,148.12 is: 2,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.57 : 3,348.95 = 2,148.12 : x
  2. Step 2: Convert to fraction form
    2,427.57/3,348.95 = 2,148.12/x
  3. Step 3: Cross multiply
    2,427.57x = 3,348.95 × 2,148.12
  4. Step 4: Simplify right side
    2,427.57x = 7,193,935.73
  5. Step 5: Solve for x
    x = 7,193,935.73/2,427.57
  6. Step 6: Final answer
    x = 2,963.43

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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.