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Finding the Fourth Proportional to 3,040.74, 4,561.23 and 849.66

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Solution

The fourth proportional to 3,040.74, 4,561.23 and 849.66 is: 1,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.74 : 4,561.23 = 849.66 : x
  2. Step 2: Convert to fraction form
    3,040.74/4,561.23 = 849.66/x
  3. Step 3: Cross multiply
    3,040.74x = 4,561.23 × 849.66
  4. Step 4: Simplify right side
    3,040.74x = 3,875,494.68
  5. Step 5: Solve for x
    x = 3,875,494.68/3,040.74
  6. Step 6: Final answer
    x = 1,274.52

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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.