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Finding the Fourth Proportional to 3,178.56, 4,767.84 and 987.42

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Solution

The fourth proportional to 3,178.56, 4,767.84 and 987.42 is: 1,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.56 : 4,767.84 = 987.42 : x
  2. Step 2: Convert to fraction form
    3,178.56/4,767.84 = 987.42/x
  3. Step 3: Cross multiply
    3,178.56x = 4,767.84 × 987.42
  4. Step 4: Simplify right side
    3,178.56x = 4,707,860.57
  5. Step 5: Solve for x
    x = 4,707,860.57/3,178.56
  6. Step 6: Final answer
    x = 1,481.13

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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.