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Finding the Fourth Proportional to 2,233.23, 3,349.37 and 752.31

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Solution

The fourth proportional to 2,233.23, 3,349.37 and 752.31 is: 1,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.23 : 3,349.37 = 752.31 : x
  2. Step 2: Convert to fraction form
    2,233.23/3,349.37 = 752.31/x
  3. Step 3: Cross multiply
    2,233.23x = 3,349.37 × 752.31
  4. Step 4: Simplify right side
    2,233.23x = 2,519,767.79
  5. Step 5: Solve for x
    x = 2,519,767.79/2,233.23
  6. Step 6: Final answer
    x = 1,128.31

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