Home / 2,282.58-3,423.33-984.96

Finding the Fourth Proportional to 2,282.58, 3,423.33 and 984.96

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Solution

The fourth proportional to 2,282.58, 3,423.33 and 984.96 is: 1,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.58 : 3,423.33 = 984.96 : x
  2. Step 2: Convert to fraction form
    2,282.58/3,423.33 = 984.96/x
  3. Step 3: Cross multiply
    2,282.58x = 3,423.33 × 984.96
  4. Step 4: Simplify right side
    2,282.58x = 3,371,843.12
  5. Step 5: Solve for x
    x = 3,371,843.12/2,282.58
  6. Step 6: Final answer
    x = 1,477.21

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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.