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Finding the Fourth Proportional to 2,266.53, 3,397.34 and 879.45

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Solution

The fourth proportional to 2,266.53, 3,397.34 and 879.45 is: 1,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.53 : 3,397.34 = 879.45 : x
  2. Step 2: Convert to fraction form
    2,266.53/3,397.34 = 879.45/x
  3. Step 3: Cross multiply
    2,266.53x = 3,397.34 × 879.45
  4. Step 4: Simplify right side
    2,266.53x = 2,987,786.27
  5. Step 5: Solve for x
    x = 2,987,786.27/2,266.53
  6. Step 6: Final answer
    x = 1,318.22

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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.