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Finding the Fourth Proportional to 2,757.70, 3,802.89 and 2,443.06

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Solution

The fourth proportional to 2,757.70, 3,802.89 and 2,443.06 is: 3,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.70 : 3,802.89 = 2,443.06 : x
  2. Step 2: Convert to fraction form
    2,757.70/3,802.89 = 2,443.06/x
  3. Step 3: Cross multiply
    2,757.70x = 3,802.89 × 2,443.06
  4. Step 4: Simplify right side
    2,757.70x = 9,290,688.44
  5. Step 5: Solve for x
    x = 9,290,688.44/2,757.70
  6. Step 6: Final answer
    x = 3,369.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.