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Finding the Fourth Proportional to 2,517.16, 3,777.23 and 958.48

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Solution

The fourth proportional to 2,517.16, 3,777.23 and 958.48 is: 1,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.16 : 3,777.23 = 958.48 : x
  2. Step 2: Convert to fraction form
    2,517.16/3,777.23 = 958.48/x
  3. Step 3: Cross multiply
    2,517.16x = 3,777.23 × 958.48
  4. Step 4: Simplify right side
    2,517.16x = 3,620,385.17
  5. Step 5: Solve for x
    x = 3,620,385.17/2,517.16
  6. Step 6: Final answer
    x = 1,438.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.