Home / 1,905.82-2,858.91-519.17

Finding the Fourth Proportional to 1,905.82, 2,858.91 and 519.17

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Solution

The fourth proportional to 1,905.82, 2,858.91 and 519.17 is: 778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.82 : 2,858.91 = 519.17 : x
  2. Step 2: Convert to fraction form
    1,905.82/2,858.91 = 519.17/x
  3. Step 3: Cross multiply
    1,905.82x = 2,858.91 × 519.17
  4. Step 4: Simplify right side
    1,905.82x = 1,484,243.41
  5. Step 5: Solve for x
    x = 1,484,243.41/1,905.82
  6. Step 6: Final answer
    x = 778.79

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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.