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Finding the Fourth Proportional to 2,744.65, 3,767.80 and 2,523.22

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Solution

The fourth proportional to 2,744.65, 3,767.80 and 2,523.22 is: 3,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.65 : 3,767.80 = 2,523.22 : x
  2. Step 2: Convert to fraction form
    2,744.65/3,767.80 = 2,523.22/x
  3. Step 3: Cross multiply
    2,744.65x = 3,767.80 × 2,523.22
  4. Step 4: Simplify right side
    2,744.65x = 9,506,977.32
  5. Step 5: Solve for x
    x = 9,506,977.32/2,744.65
  6. Step 6: Final answer
    x = 3,463.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.