Home / 2,282.24-3,424.56-983.36

Finding the Fourth Proportional to 2,282.24, 3,424.56 and 983.36

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Solution

The fourth proportional to 2,282.24, 3,424.56 and 983.36 is: 1,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.24 : 3,424.56 = 983.36 : x
  2. Step 2: Convert to fraction form
    2,282.24/3,424.56 = 983.36/x
  3. Step 3: Cross multiply
    2,282.24x = 3,424.56 × 983.36
  4. Step 4: Simplify right side
    2,282.24x = 3,367,575.32
  5. Step 5: Solve for x
    x = 3,367,575.32/2,282.24
  6. Step 6: Final answer
    x = 1,475.56

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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.