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Finding the Fourth Proportional to 3,040.15, 4,560.22 and 731.65

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Solution

The fourth proportional to 3,040.15, 4,560.22 and 731.65 is: 1,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.15 : 4,560.22 = 731.65 : x
  2. Step 2: Convert to fraction form
    3,040.15/4,560.22 = 731.65/x
  3. Step 3: Cross multiply
    3,040.15x = 4,560.22 × 731.65
  4. Step 4: Simplify right side
    3,040.15x = 3,336,458.50
  5. Step 5: Solve for x
    x = 3,336,458.50/3,040.15
  6. Step 6: Final answer
    x = 1,097.47

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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.