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Finding the Fourth Proportional to 3,040.76, 4,560.50 and 960.93

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Solution

The fourth proportional to 3,040.76, 4,560.50 and 960.93 is: 1,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.76 : 4,560.50 = 960.93 : x
  2. Step 2: Convert to fraction form
    3,040.76/4,560.50 = 960.93/x
  3. Step 3: Cross multiply
    3,040.76x = 4,560.50 × 960.93
  4. Step 4: Simplify right side
    3,040.76x = 4,382,316.46
  5. Step 5: Solve for x
    x = 4,382,316.46/3,040.76
  6. Step 6: Final answer
    x = 1,441.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.