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Finding the Fourth Proportional to 3,179.02, 4,769.09 and 987.97

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Solution

The fourth proportional to 3,179.02, 4,769.09 and 987.97 is: 1,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.02 : 4,769.09 = 987.97 : x
  2. Step 2: Convert to fraction form
    3,179.02/4,769.09 = 987.97/x
  3. Step 3: Cross multiply
    3,179.02x = 4,769.09 × 987.97
  4. Step 4: Simplify right side
    3,179.02x = 4,711,712.91
  5. Step 5: Solve for x
    x = 4,711,712.91/3,179.02
  6. Step 6: Final answer
    x = 1,482.13

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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.