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Finding the Fourth Proportional to 3,178.01, 4,767.47 and 1,204.38

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Solution

The fourth proportional to 3,178.01, 4,767.47 and 1,204.38 is: 1,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.01 : 4,767.47 = 1,204.38 : x
  2. Step 2: Convert to fraction form
    3,178.01/4,767.47 = 1,204.38/x
  3. Step 3: Cross multiply
    3,178.01x = 4,767.47 × 1,204.38
  4. Step 4: Simplify right side
    3,178.01x = 5,741,839.50
  5. Step 5: Solve for x
    x = 5,741,839.50/3,178.01
  6. Step 6: Final answer
    x = 1,806.74

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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.