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Finding the Fourth Proportional to 2,757.42, 4,133.50 and 1,767.20

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Solution

The fourth proportional to 2,757.42, 4,133.50 and 1,767.20 is: 2,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.42 : 4,133.50 = 1,767.20 : x
  2. Step 2: Convert to fraction form
    2,757.42/4,133.50 = 1,767.20/x
  3. Step 3: Cross multiply
    2,757.42x = 4,133.50 × 1,767.20
  4. Step 4: Simplify right side
    2,757.42x = 7,304,696.11
  5. Step 5: Solve for x
    x = 7,304,696.11/2,757.42
  6. Step 6: Final answer
    x = 2,649.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.