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Finding the Fourth Proportional to 3,040.83, 4,561.25 and 732.33

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Solution

The fourth proportional to 3,040.83, 4,561.25 and 732.33 is: 1,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.83 : 4,561.25 = 732.33 : x
  2. Step 2: Convert to fraction form
    3,040.83/4,561.25 = 732.33/x
  3. Step 3: Cross multiply
    3,040.83x = 4,561.25 × 732.33
  4. Step 4: Simplify right side
    3,040.83x = 3,340,336.55
  5. Step 5: Solve for x
    x = 3,340,336.55/3,040.83
  6. Step 6: Final answer
    x = 1,098.50

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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.