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Finding the Fourth Proportional to 2,744.38, 4,116.10 and 989.03

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Solution

The fourth proportional to 2,744.38, 4,116.10 and 989.03 is: 1,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.38 : 4,116.10 = 989.03 : x
  2. Step 2: Convert to fraction form
    2,744.38/4,116.10 = 989.03/x
  3. Step 3: Cross multiply
    2,744.38x = 4,116.10 × 989.03
  4. Step 4: Simplify right side
    2,744.38x = 4,070,946.38
  5. Step 5: Solve for x
    x = 4,070,946.38/2,744.38
  6. Step 6: Final answer
    x = 1,483.38

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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.