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Finding the Fourth Proportional to 2,251.94, 3,107.76 and 1,257.32

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Solution

The fourth proportional to 2,251.94, 3,107.76 and 1,257.32 is: 1,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.94 : 3,107.76 = 1,257.32 : x
  2. Step 2: Convert to fraction form
    2,251.94/3,107.76 = 1,257.32/x
  3. Step 3: Cross multiply
    2,251.94x = 3,107.76 × 1,257.32
  4. Step 4: Simplify right side
    2,251.94x = 3,907,448.80
  5. Step 5: Solve for x
    x = 3,907,448.80/2,251.94
  6. Step 6: Final answer
    x = 1,735.15

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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.