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Finding the Fourth Proportional to 2,252.97, 3,362.78 and 2,114.46

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Solution

The fourth proportional to 2,252.97, 3,362.78 and 2,114.46 is: 3,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.97 : 3,362.78 = 2,114.46 : x
  2. Step 2: Convert to fraction form
    2,252.97/3,362.78 = 2,114.46/x
  3. Step 3: Cross multiply
    2,252.97x = 3,362.78 × 2,114.46
  4. Step 4: Simplify right side
    2,252.97x = 7,110,469.08
  5. Step 5: Solve for x
    x = 7,110,469.08/2,252.97
  6. Step 6: Final answer
    x = 3,156.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.