Home / 2,282.25-3,423.89-700.85

Finding the Fourth Proportional to 2,282.25, 3,423.89 and 700.85

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Solution

The fourth proportional to 2,282.25, 3,423.89 and 700.85 is: 1,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.25 : 3,423.89 = 700.85 : x
  2. Step 2: Convert to fraction form
    2,282.25/3,423.89 = 700.85/x
  3. Step 3: Cross multiply
    2,282.25x = 3,423.89 × 700.85
  4. Step 4: Simplify right side
    2,282.25x = 2,399,638.36
  5. Step 5: Solve for x
    x = 2,399,638.36/2,282.25
  6. Step 6: Final answer
    x = 1,051.44

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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.