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Finding the Fourth Proportional to 2,288.54, 3,430.32 and 1,119.33

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Solution

The fourth proportional to 2,288.54, 3,430.32 and 1,119.33 is: 1,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.54 : 3,430.32 = 1,119.33 : x
  2. Step 2: Convert to fraction form
    2,288.54/3,430.32 = 1,119.33/x
  3. Step 3: Cross multiply
    2,288.54x = 3,430.32 × 1,119.33
  4. Step 4: Simplify right side
    2,288.54x = 3,839,660.09
  5. Step 5: Solve for x
    x = 3,839,660.09/2,288.54
  6. Step 6: Final answer
    x = 1,677.78

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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.