Home / 2,281.14-3,421.98-820.44

Finding the Fourth Proportional to 2,281.14, 3,421.98 and 820.44

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Solution

The fourth proportional to 2,281.14, 3,421.98 and 820.44 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.14 : 3,421.98 = 820.44 : x
  2. Step 2: Convert to fraction form
    2,281.14/3,421.98 = 820.44/x
  3. Step 3: Cross multiply
    2,281.14x = 3,421.98 × 820.44
  4. Step 4: Simplify right side
    2,281.14x = 2,807,529.27
  5. Step 5: Solve for x
    x = 2,807,529.27/2,281.14
  6. Step 6: Final answer
    x = 1,230.76

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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.