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Finding the Fourth Proportional to 2,744.82, 4,116.20 and 989.36

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Solution

The fourth proportional to 2,744.82, 4,116.20 and 989.36 is: 1,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.82 : 4,116.20 = 989.36 : x
  2. Step 2: Convert to fraction form
    2,744.82/4,116.20 = 989.36/x
  3. Step 3: Cross multiply
    2,744.82x = 4,116.20 × 989.36
  4. Step 4: Simplify right side
    2,744.82x = 4,072,378.10
  5. Step 5: Solve for x
    x = 4,072,378.10/2,744.82
  6. Step 6: Final answer
    x = 1,483.66

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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.