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Finding the Fourth Proportional to 2,744.53, 4,116.86 and 989.68

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Solution

The fourth proportional to 2,744.53, 4,116.86 and 989.68 is: 1,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.53 : 4,116.86 = 989.68 : x
  2. Step 2: Convert to fraction form
    2,744.53/4,116.86 = 989.68/x
  3. Step 3: Cross multiply
    2,744.53x = 4,116.86 × 989.68
  4. Step 4: Simplify right side
    2,744.53x = 4,074,362.48
  5. Step 5: Solve for x
    x = 4,074,362.48/2,744.53
  6. Step 6: Final answer
    x = 1,484.54

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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.