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Finding the Fourth Proportional to 2,328.55, 3,213.34 and 1,266.27

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Solution

The fourth proportional to 2,328.55, 3,213.34 and 1,266.27 is: 1,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.55 : 3,213.34 = 1,266.27 : x
  2. Step 2: Convert to fraction form
    2,328.55/3,213.34 = 1,266.27/x
  3. Step 3: Cross multiply
    2,328.55x = 3,213.34 × 1,266.27
  4. Step 4: Simplify right side
    2,328.55x = 4,068,940.83
  5. Step 5: Solve for x
    x = 4,068,940.83/2,328.55
  6. Step 6: Final answer
    x = 1,747.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.