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Finding the Fourth Proportional to 2,233.82, 3,350.46 and 1,411.40

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Solution

The fourth proportional to 2,233.82, 3,350.46 and 1,411.40 is: 2,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.82 : 3,350.46 = 1,411.40 : x
  2. Step 2: Convert to fraction form
    2,233.82/3,350.46 = 1,411.40/x
  3. Step 3: Cross multiply
    2,233.82x = 3,350.46 × 1,411.40
  4. Step 4: Simplify right side
    2,233.82x = 4,728,839.24
  5. Step 5: Solve for x
    x = 4,728,839.24/2,233.82
  6. Step 6: Final answer
    x = 2,116.93

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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.