Home / 2,419.20-3,628.80-775.80

Finding the Fourth Proportional to 2,419.20, 3,628.80 and 775.80

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Solution

The fourth proportional to 2,419.20, 3,628.80 and 775.80 is: 1,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.20 : 3,628.80 = 775.80 : x
  2. Step 2: Convert to fraction form
    2,419.20/3,628.80 = 775.80/x
  3. Step 3: Cross multiply
    2,419.20x = 3,628.80 × 775.80
  4. Step 4: Simplify right side
    2,419.20x = 2,815,223.04
  5. Step 5: Solve for x
    x = 2,815,223.04/2,419.20
  6. Step 6: Final answer
    x = 1,163.70

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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.