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Finding the Fourth Proportional to 3,178.77, 4,767.20 and 1,203.74

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Solution

The fourth proportional to 3,178.77, 4,767.20 and 1,203.74 is: 1,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.77 : 4,767.20 = 1,203.74 : x
  2. Step 2: Convert to fraction form
    3,178.77/4,767.20 = 1,203.74/x
  3. Step 3: Cross multiply
    3,178.77x = 4,767.20 × 1,203.74
  4. Step 4: Simplify right side
    3,178.77x = 5,738,469.33
  5. Step 5: Solve for x
    x = 5,738,469.33/3,178.77
  6. Step 6: Final answer
    x = 1,805.25

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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.