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Finding the Fourth Proportional to 3,040.68, 4,561.02 and 849.45

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Solution

The fourth proportional to 3,040.68, 4,561.02 and 849.45 is: 1,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.68 : 4,561.02 = 849.45 : x
  2. Step 2: Convert to fraction form
    3,040.68/4,561.02 = 849.45/x
  3. Step 3: Cross multiply
    3,040.68x = 4,561.02 × 849.45
  4. Step 4: Simplify right side
    3,040.68x = 3,874,358.44
  5. Step 5: Solve for x
    x = 3,874,358.44/3,040.68
  6. Step 6: Final answer
    x = 1,274.18

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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.