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Finding the Fourth Proportional to 3,040.87, 4,561.33 and 849.77

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Solution

The fourth proportional to 3,040.87, 4,561.33 and 849.77 is: 1,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.87 : 4,561.33 = 849.77 : x
  2. Step 2: Convert to fraction form
    3,040.87/4,561.33 = 849.77/x
  3. Step 3: Cross multiply
    3,040.87x = 4,561.33 × 849.77
  4. Step 4: Simplify right side
    3,040.87x = 3,876,081.39
  5. Step 5: Solve for x
    x = 3,876,081.39/3,040.87
  6. Step 6: Final answer
    x = 1,274.66

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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.