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Finding the Fourth Proportional to 2,854.49, 3,938.11 and 1,791.80

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Solution

The fourth proportional to 2,854.49, 3,938.11 and 1,791.80 is: 2,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.49 : 3,938.11 = 1,791.80 : x
  2. Step 2: Convert to fraction form
    2,854.49/3,938.11 = 1,791.80/x
  3. Step 3: Cross multiply
    2,854.49x = 3,938.11 × 1,791.80
  4. Step 4: Simplify right side
    2,854.49x = 7,056,305.50
  5. Step 5: Solve for x
    x = 7,056,305.50/2,854.49
  6. Step 6: Final answer
    x = 2,472.00

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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.