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Finding the Fourth Proportional to 2,257.96, 3,116.08 and 1,263.24

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Solution

The fourth proportional to 2,257.96, 3,116.08 and 1,263.24 is: 1,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.96 : 3,116.08 = 1,263.24 : x
  2. Step 2: Convert to fraction form
    2,257.96/3,116.08 = 1,263.24/x
  3. Step 3: Cross multiply
    2,257.96x = 3,116.08 × 1,263.24
  4. Step 4: Simplify right side
    2,257.96x = 3,936,356.90
  5. Step 5: Solve for x
    x = 3,936,356.90/2,257.96
  6. Step 6: Final answer
    x = 1,743.32

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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.