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Finding the Fourth Proportional to 2,744.57, 4,116.30 and 989.52

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Solution

The fourth proportional to 2,744.57, 4,116.30 and 989.52 is: 1,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.57 : 4,116.30 = 989.52 : x
  2. Step 2: Convert to fraction form
    2,744.57/4,116.30 = 989.52/x
  3. Step 3: Cross multiply
    2,744.57x = 4,116.30 × 989.52
  4. Step 4: Simplify right side
    2,744.57x = 4,073,161.18
  5. Step 5: Solve for x
    x = 4,073,161.18/2,744.57
  6. Step 6: Final answer
    x = 1,484.08

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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.