Home / 2,282.66-3,424.05-896.34

Finding the Fourth Proportional to 2,282.66, 3,424.05 and 896.34

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Solution

The fourth proportional to 2,282.66, 3,424.05 and 896.34 is: 1,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.66 : 3,424.05 = 896.34 : x
  2. Step 2: Convert to fraction form
    2,282.66/3,424.05 = 896.34/x
  3. Step 3: Cross multiply
    2,282.66x = 3,424.05 × 896.34
  4. Step 4: Simplify right side
    2,282.66x = 3,069,112.98
  5. Step 5: Solve for x
    x = 3,069,112.98/2,282.66
  6. Step 6: Final answer
    x = 1,344.54

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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.