Home / 2,283.68-3,426.64-822.96

Finding the Fourth Proportional to 2,283.68, 3,426.64 and 822.96

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Solution

The fourth proportional to 2,283.68, 3,426.64 and 822.96 is: 1,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.68 : 3,426.64 = 822.96 : x
  2. Step 2: Convert to fraction form
    2,283.68/3,426.64 = 822.96/x
  3. Step 3: Cross multiply
    2,283.68x = 3,426.64 × 822.96
  4. Step 4: Simplify right side
    2,283.68x = 2,819,987.65
  5. Step 5: Solve for x
    x = 2,819,987.65/2,283.68
  6. Step 6: Final answer
    x = 1,234.84

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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.