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Finding the Fourth Proportional to 2,042, 3,067.32 and 1,178

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Solution

The fourth proportional to 2,042, 3,067.32 and 1,178 is: 1,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 3,067.32 = 1,178 : x
  2. Step 2: Convert to fraction form
    2,042/3,067.32 = 1,178/x
  3. Step 3: Cross multiply
    2,042x = 3,067.32 × 1,178
  4. Step 4: Simplify right side
    2,042x = 3,613,302.96
  5. Step 5: Solve for x
    x = 3,613,302.96/2,042
  6. Step 6: Final answer
    x = 1,769.49

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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.