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Finding the Fourth Proportional to 3,179.52, 4,769.84 and 988.47

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Solution

The fourth proportional to 3,179.52, 4,769.84 and 988.47 is: 1,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.52 : 4,769.84 = 988.47 : x
  2. Step 2: Convert to fraction form
    3,179.52/4,769.84 = 988.47/x
  3. Step 3: Cross multiply
    3,179.52x = 4,769.84 × 988.47
  4. Step 4: Simplify right side
    3,179.52x = 4,714,838.80
  5. Step 5: Solve for x
    x = 4,714,838.80/3,179.52
  6. Step 6: Final answer
    x = 1,482.88

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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.