Home / 2,231.80-3,347.28-770.96

Finding the Fourth Proportional to 2,231.80, 3,347.28 and 770.96

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Solution

The fourth proportional to 2,231.80, 3,347.28 and 770.96 is: 1,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.80 : 3,347.28 = 770.96 : x
  2. Step 2: Convert to fraction form
    2,231.80/3,347.28 = 770.96/x
  3. Step 3: Cross multiply
    2,231.80x = 3,347.28 × 770.96
  4. Step 4: Simplify right side
    2,231.80x = 2,580,618.99
  5. Step 5: Solve for x
    x = 2,580,618.99/2,231.80
  6. Step 6: Final answer
    x = 1,156.29

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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.