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Finding the Fourth Proportional to 3,283.66, 4,531.57 and 1,791.66

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Solution

The fourth proportional to 3,283.66, 4,531.57 and 1,791.66 is: 2,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.66 : 4,531.57 = 1,791.66 : x
  2. Step 2: Convert to fraction form
    3,283.66/4,531.57 = 1,791.66/x
  3. Step 3: Cross multiply
    3,283.66x = 4,531.57 × 1,791.66
  4. Step 4: Simplify right side
    3,283.66x = 8,119,045.22
  5. Step 5: Solve for x
    x = 8,119,045.22/3,283.66
  6. Step 6: Final answer
    x = 2,472.56

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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.