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Finding the Fourth Proportional to 3,178.50, 4,767.84 and 870

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Solution

The fourth proportional to 3,178.50, 4,767.84 and 870 is: 1,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.50 : 4,767.84 = 870 : x
  2. Step 2: Convert to fraction form
    3,178.50/4,767.84 = 870/x
  3. Step 3: Cross multiply
    3,178.50x = 4,767.84 × 870
  4. Step 4: Simplify right side
    3,178.50x = 4,148,020.80
  5. Step 5: Solve for x
    x = 4,148,020.80/3,178.50
  6. Step 6: Final answer
    x = 1,305.02

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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.