Home / 1,918.23-2,876.82-822.34

Finding the Fourth Proportional to 1,918.23, 2,876.82 and 822.34

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Solution

The fourth proportional to 1,918.23, 2,876.82 and 822.34 is: 1,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.23 : 2,876.82 = 822.34 : x
  2. Step 2: Convert to fraction form
    1,918.23/2,876.82 = 822.34/x
  3. Step 3: Cross multiply
    1,918.23x = 2,876.82 × 822.34
  4. Step 4: Simplify right side
    1,918.23x = 2,365,720.63
  5. Step 5: Solve for x
    x = 2,365,720.63/1,918.23
  6. Step 6: Final answer
    x = 1,233.28

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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.