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Finding the Fourth Proportional to 1,454.17, 2,006.77 and 791.02

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Solution

The fourth proportional to 1,454.17, 2,006.77 and 791.02 is: 1,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.17 : 2,006.77 = 791.02 : x
  2. Step 2: Convert to fraction form
    1,454.17/2,006.77 = 791.02/x
  3. Step 3: Cross multiply
    1,454.17x = 2,006.77 × 791.02
  4. Step 4: Simplify right side
    1,454.17x = 1,587,391.25
  5. Step 5: Solve for x
    x = 1,587,391.25/1,454.17
  6. Step 6: Final answer
    x = 1,091.62

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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.