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Finding the Fourth Proportional to 2,252, 3,107.82 and 1,257.32

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Solution

The fourth proportional to 2,252, 3,107.82 and 1,257.32 is: 1,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252 : 3,107.82 = 1,257.32 : x
  2. Step 2: Convert to fraction form
    2,252/3,107.82 = 1,257.32/x
  3. Step 3: Cross multiply
    2,252x = 3,107.82 × 1,257.32
  4. Step 4: Simplify right side
    2,252x = 3,907,524.24
  5. Step 5: Solve for x
    x = 3,907,524.24/2,252
  6. Step 6: Final answer
    x = 1,735.14

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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.