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Finding the Fourth Proportional to 2,744.32, 4,116.42 and 989.26

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Solution

The fourth proportional to 2,744.32, 4,116.42 and 989.26 is: 1,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.32 : 4,116.42 = 989.26 : x
  2. Step 2: Convert to fraction form
    2,744.32/4,116.42 = 989.26/x
  3. Step 3: Cross multiply
    2,744.32x = 4,116.42 × 989.26
  4. Step 4: Simplify right side
    2,744.32x = 4,072,209.65
  5. Step 5: Solve for x
    x = 4,072,209.65/2,744.32
  6. Step 6: Final answer
    x = 1,483.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.