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Finding the Fourth Proportional to 1,999.78, 3,002.10 and 1,178.44

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Solution

The fourth proportional to 1,999.78, 3,002.10 and 1,178.44 is: 1,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.78 : 3,002.10 = 1,178.44 : x
  2. Step 2: Convert to fraction form
    1,999.78/3,002.10 = 1,178.44/x
  3. Step 3: Cross multiply
    1,999.78x = 3,002.10 × 1,178.44
  4. Step 4: Simplify right side
    1,999.78x = 3,537,794.72
  5. Step 5: Solve for x
    x = 3,537,794.72/1,999.78
  6. Step 6: Final answer
    x = 1,769.09

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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.