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Finding the Fourth Proportional to 2,517.78, 3,776.76 and 1,422.12

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Solution

The fourth proportional to 2,517.78, 3,776.76 and 1,422.12 is: 2,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.78 : 3,776.76 = 1,422.12 : x
  2. Step 2: Convert to fraction form
    2,517.78/3,776.76 = 1,422.12/x
  3. Step 3: Cross multiply
    2,517.78x = 3,776.76 × 1,422.12
  4. Step 4: Simplify right side
    2,517.78x = 5,371,005.93
  5. Step 5: Solve for x
    x = 5,371,005.93/2,517.78
  6. Step 6: Final answer
    x = 2,133.23

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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.