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Finding the Fourth Proportional to 3,283.68, 4,531.40 and 1,791.66

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Solution

The fourth proportional to 3,283.68, 4,531.40 and 1,791.66 is: 2,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.68 : 4,531.40 = 1,791.66 : x
  2. Step 2: Convert to fraction form
    3,283.68/4,531.40 = 1,791.66/x
  3. Step 3: Cross multiply
    3,283.68x = 4,531.40 × 1,791.66
  4. Step 4: Simplify right side
    3,283.68x = 8,118,719.17
  5. Step 5: Solve for x
    x = 8,118,719.17/3,283.68
  6. Step 6: Final answer
    x = 2,472.45

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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.