Home / 1,463.82-2,204.32-1,055.78

Finding the Fourth Proportional to 1,463.82, 2,204.32 and 1,055.78

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Solution

The fourth proportional to 1,463.82, 2,204.32 and 1,055.78 is: 1,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.82 : 2,204.32 = 1,055.78 : x
  2. Step 2: Convert to fraction form
    1,463.82/2,204.32 = 1,055.78/x
  3. Step 3: Cross multiply
    1,463.82x = 2,204.32 × 1,055.78
  4. Step 4: Simplify right side
    1,463.82x = 2,327,276.97
  5. Step 5: Solve for x
    x = 2,327,276.97/1,463.82
  6. Step 6: Final answer
    x = 1,589.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.