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Finding the Fourth Proportional to 2,854.45, 3,937.51 and 1,791.80

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Solution

The fourth proportional to 2,854.45, 3,937.51 and 1,791.80 is: 2,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.45 : 3,937.51 = 1,791.80 : x
  2. Step 2: Convert to fraction form
    2,854.45/3,937.51 = 1,791.80/x
  3. Step 3: Cross multiply
    2,854.45x = 3,937.51 × 1,791.80
  4. Step 4: Simplify right side
    2,854.45x = 7,055,230.42
  5. Step 5: Solve for x
    x = 7,055,230.42/2,854.45
  6. Step 6: Final answer
    x = 2,471.66

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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.