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Finding the Fourth Proportional to 3,255.19, 4,882.78 and 946.69

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Solution

The fourth proportional to 3,255.19, 4,882.78 and 946.69 is: 1,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.19 : 4,882.78 = 946.69 : x
  2. Step 2: Convert to fraction form
    3,255.19/4,882.78 = 946.69/x
  3. Step 3: Cross multiply
    3,255.19x = 4,882.78 × 946.69
  4. Step 4: Simplify right side
    3,255.19x = 4,622,467.97
  5. Step 5: Solve for x
    x = 4,622,467.97/3,255.19
  6. Step 6: Final answer
    x = 1,420.03

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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.