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Finding the Fourth Proportional to 2,231.84, 3,347.76 and 2,105.12

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Solution

The fourth proportional to 2,231.84, 3,347.76 and 2,105.12 is: 3,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.84 : 3,347.76 = 2,105.12 : x
  2. Step 2: Convert to fraction form
    2,231.84/3,347.76 = 2,105.12/x
  3. Step 3: Cross multiply
    2,231.84x = 3,347.76 × 2,105.12
  4. Step 4: Simplify right side
    2,231.84x = 7,047,436.53
  5. Step 5: Solve for x
    x = 7,047,436.53/2,231.84
  6. Step 6: Final answer
    x = 3,157.68

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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.