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Finding the Fourth Proportional to 3,040.59, 4,561.09 and 960.68

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Solution

The fourth proportional to 3,040.59, 4,561.09 and 960.68 is: 1,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.59 : 4,561.09 = 960.68 : x
  2. Step 2: Convert to fraction form
    3,040.59/4,561.09 = 960.68/x
  3. Step 3: Cross multiply
    3,040.59x = 4,561.09 × 960.68
  4. Step 4: Simplify right side
    3,040.59x = 4,381,747.94
  5. Step 5: Solve for x
    x = 4,381,747.94/3,040.59
  6. Step 6: Final answer
    x = 1,441.08

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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.