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Finding the Fourth Proportional to 2,272.27, 3,407.17 and 711.60

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Solution

The fourth proportional to 2,272.27, 3,407.17 and 711.60 is: 1,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.27 : 3,407.17 = 711.60 : x
  2. Step 2: Convert to fraction form
    2,272.27/3,407.17 = 711.60/x
  3. Step 3: Cross multiply
    2,272.27x = 3,407.17 × 711.60
  4. Step 4: Simplify right side
    2,272.27x = 2,424,542.17
  5. Step 5: Solve for x
    x = 2,424,542.17/2,272.27
  6. Step 6: Final answer
    x = 1,067.01

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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.