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Finding the Fourth Proportional to 3,283.50, 4,531.14 and 1,791.40

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Solution

The fourth proportional to 3,283.50, 4,531.14 and 1,791.40 is: 2,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.50 : 4,531.14 = 1,791.40 : x
  2. Step 2: Convert to fraction form
    3,283.50/4,531.14 = 1,791.40/x
  3. Step 3: Cross multiply
    3,283.50x = 4,531.14 × 1,791.40
  4. Step 4: Simplify right side
    3,283.50x = 8,117,081.36
  5. Step 5: Solve for x
    x = 8,117,081.36/3,283.50
  6. Step 6: Final answer
    x = 2,472.08

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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.