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Finding the Fourth Proportional to 1,910, 2,863.54 and 922.31

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Solution

The fourth proportional to 1,910, 2,863.54 and 922.31 is: 1,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910 : 2,863.54 = 922.31 : x
  2. Step 2: Convert to fraction form
    1,910/2,863.54 = 922.31/x
  3. Step 3: Cross multiply
    1,910x = 2,863.54 × 922.31
  4. Step 4: Simplify right side
    1,910x = 2,641,066.97
  5. Step 5: Solve for x
    x = 2,641,066.97/1,910
  6. Step 6: Final answer
    x = 1,382.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.