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Finding the Fourth Proportional to 2,288.70, 3,431.90 and 1,118.79

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Solution

The fourth proportional to 2,288.70, 3,431.90 and 1,118.79 is: 1,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.70 : 3,431.90 = 1,118.79 : x
  2. Step 2: Convert to fraction form
    2,288.70/3,431.90 = 1,118.79/x
  3. Step 3: Cross multiply
    2,288.70x = 3,431.90 × 1,118.79
  4. Step 4: Simplify right side
    2,288.70x = 3,839,578.20
  5. Step 5: Solve for x
    x = 3,839,578.20/2,288.70
  6. Step 6: Final answer
    x = 1,677.62

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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.