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Finding the Fourth Proportional to 2,767.68, 3,792.32 and 2,742.08

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Solution

The fourth proportional to 2,767.68, 3,792.32 and 2,742.08 is: 3,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.68 : 3,792.32 = 2,742.08 : x
  2. Step 2: Convert to fraction form
    2,767.68/3,792.32 = 2,742.08/x
  3. Step 3: Cross multiply
    2,767.68x = 3,792.32 × 2,742.08
  4. Step 4: Simplify right side
    2,767.68x = 10,398,844.83
  5. Step 5: Solve for x
    x = 10,398,844.83/2,767.68
  6. Step 6: Final answer
    x = 3,757.24

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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.