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Finding the Fourth Proportional to 3,180.78, 4,769.33 and 1,230.71

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Solution

The fourth proportional to 3,180.78, 4,769.33 and 1,230.71 is: 1,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.78 : 4,769.33 = 1,230.71 : x
  2. Step 2: Convert to fraction form
    3,180.78/4,769.33 = 1,230.71/x
  3. Step 3: Cross multiply
    3,180.78x = 4,769.33 × 1,230.71
  4. Step 4: Simplify right side
    3,180.78x = 5,869,632.12
  5. Step 5: Solve for x
    x = 5,869,632.12/3,180.78
  6. Step 6: Final answer
    x = 1,845.34

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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.