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Finding the Fourth Proportional to 3,179.43, 4,769.16 and 988.11

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Solution

The fourth proportional to 3,179.43, 4,769.16 and 988.11 is: 1,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.43 : 4,769.16 = 988.11 : x
  2. Step 2: Convert to fraction form
    3,179.43/4,769.16 = 988.11/x
  3. Step 3: Cross multiply
    3,179.43x = 4,769.16 × 988.11
  4. Step 4: Simplify right side
    3,179.43x = 4,712,454.69
  5. Step 5: Solve for x
    x = 4,712,454.69/3,179.43
  6. Step 6: Final answer
    x = 1,482.17

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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.