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Finding the Fourth Proportional to 2,231.12, 3,346.80 and 749.74

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Solution

The fourth proportional to 2,231.12, 3,346.80 and 749.74 is: 1,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.12 : 3,346.80 = 749.74 : x
  2. Step 2: Convert to fraction form
    2,231.12/3,346.80 = 749.74/x
  3. Step 3: Cross multiply
    2,231.12x = 3,346.80 × 749.74
  4. Step 4: Simplify right side
    2,231.12x = 2,509,229.83
  5. Step 5: Solve for x
    x = 2,509,229.83/2,231.12
  6. Step 6: Final answer
    x = 1,124.65

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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.