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Finding the Fourth Proportional to 3,040.30, 4,559.57 and 849.11

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Solution

The fourth proportional to 3,040.30, 4,559.57 and 849.11 is: 1,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.30 : 4,559.57 = 849.11 : x
  2. Step 2: Convert to fraction form
    3,040.30/4,559.57 = 849.11/x
  3. Step 3: Cross multiply
    3,040.30x = 4,559.57 × 849.11
  4. Step 4: Simplify right side
    3,040.30x = 3,871,572.24
  5. Step 5: Solve for x
    x = 3,871,572.24/3,040.30
  6. Step 6: Final answer
    x = 1,273.42

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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.