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Finding the Fourth Proportional to 2,252.64, 3,108.65 and 1,257.96

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Solution

The fourth proportional to 2,252.64, 3,108.65 and 1,257.96 is: 1,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.64 : 3,108.65 = 1,257.96 : x
  2. Step 2: Convert to fraction form
    2,252.64/3,108.65 = 1,257.96/x
  3. Step 3: Cross multiply
    2,252.64x = 3,108.65 × 1,257.96
  4. Step 4: Simplify right side
    2,252.64x = 3,910,541.80
  5. Step 5: Solve for x
    x = 3,910,541.80/2,252.64
  6. Step 6: Final answer
    x = 1,735.98

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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.