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Finding the Fourth Proportional to 3,178.95, 4,768.38 and 1,229.78

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Solution

The fourth proportional to 3,178.95, 4,768.38 and 1,229.78 is: 1,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.95 : 4,768.38 = 1,229.78 : x
  2. Step 2: Convert to fraction form
    3,178.95/4,768.38 = 1,229.78/x
  3. Step 3: Cross multiply
    3,178.95x = 4,768.38 × 1,229.78
  4. Step 4: Simplify right side
    3,178.95x = 5,864,034.51
  5. Step 5: Solve for x
    x = 5,864,034.51/3,178.95
  6. Step 6: Final answer
    x = 1,844.65

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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.