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Finding the Fourth Proportional to 2,744.97, 4,115.66 and 989.10

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Solution

The fourth proportional to 2,744.97, 4,115.66 and 989.10 is: 1,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.97 : 4,115.66 = 989.10 : x
  2. Step 2: Convert to fraction form
    2,744.97/4,115.66 = 989.10/x
  3. Step 3: Cross multiply
    2,744.97x = 4,115.66 × 989.10
  4. Step 4: Simplify right side
    2,744.97x = 4,070,794.36
  5. Step 5: Solve for x
    x = 4,070,794.36/2,744.97
  6. Step 6: Final answer
    x = 1,483.00

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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.