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Finding the Fourth Proportional to 2,744.65, 3,788.07 and 2,041.17

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Solution

The fourth proportional to 2,744.65, 3,788.07 and 2,041.17 is: 2,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.65 : 3,788.07 = 2,041.17 : x
  2. Step 2: Convert to fraction form
    2,744.65/3,788.07 = 2,041.17/x
  3. Step 3: Cross multiply
    2,744.65x = 3,788.07 × 2,041.17
  4. Step 4: Simplify right side
    2,744.65x = 7,732,072.98
  5. Step 5: Solve for x
    x = 7,732,072.98/2,744.65
  6. Step 6: Final answer
    x = 2,817.14

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Why These Related Problems?

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