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Finding the Fourth Proportional to 2,997.64, 4,491.78 and 2,266.66

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Solution

The fourth proportional to 2,997.64, 4,491.78 and 2,266.66 is: 3,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.64 : 4,491.78 = 2,266.66 : x
  2. Step 2: Convert to fraction form
    2,997.64/4,491.78 = 2,266.66/x
  3. Step 3: Cross multiply
    2,997.64x = 4,491.78 × 2,266.66
  4. Step 4: Simplify right side
    2,997.64x = 10,181,338.05
  5. Step 5: Solve for x
    x = 10,181,338.05/2,997.64
  6. Step 6: Final answer
    x = 3,396.45

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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.