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Finding the Fourth Proportional to 3,041.09, 4,561.11 and 849.31

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Solution

The fourth proportional to 3,041.09, 4,561.11 and 849.31 is: 1,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.09 : 4,561.11 = 849.31 : x
  2. Step 2: Convert to fraction form
    3,041.09/4,561.11 = 849.31/x
  3. Step 3: Cross multiply
    3,041.09x = 4,561.11 × 849.31
  4. Step 4: Simplify right side
    3,041.09x = 3,873,796.33
  5. Step 5: Solve for x
    x = 3,873,796.33/3,041.09
  6. Step 6: Final answer
    x = 1,273.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.