Home / 2,230.22-3,345.62-769.47

Finding the Fourth Proportional to 2,230.22, 3,345.62 and 769.47

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Solution

The fourth proportional to 2,230.22, 3,345.62 and 769.47 is: 1,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.22 : 3,345.62 = 769.47 : x
  2. Step 2: Convert to fraction form
    2,230.22/3,345.62 = 769.47/x
  3. Step 3: Cross multiply
    2,230.22x = 3,345.62 × 769.47
  4. Step 4: Simplify right side
    2,230.22x = 2,574,350.37
  5. Step 5: Solve for x
    x = 2,574,350.37/2,230.22
  6. Step 6: Final answer
    x = 1,154.31

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1.5x scale

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.