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Finding the Fourth Proportional to 2,327.24, 3,487.26 and 866

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Solution

The fourth proportional to 2,327.24, 3,487.26 and 866 is: 1,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.24 : 3,487.26 = 866 : x
  2. Step 2: Convert to fraction form
    2,327.24/3,487.26 = 866/x
  3. Step 3: Cross multiply
    2,327.24x = 3,487.26 × 866
  4. Step 4: Simplify right side
    2,327.24x = 3,019,967.16
  5. Step 5: Solve for x
    x = 3,019,967.16/2,327.24
  6. Step 6: Final answer
    x = 1,297.66

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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.