Home / 2,230.10-3,345.21-769.23

Finding the Fourth Proportional to 2,230.10, 3,345.21 and 769.23

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Solution

The fourth proportional to 2,230.10, 3,345.21 and 769.23 is: 1,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.10 : 3,345.21 = 769.23 : x
  2. Step 2: Convert to fraction form
    2,230.10/3,345.21 = 769.23/x
  3. Step 3: Cross multiply
    2,230.10x = 3,345.21 × 769.23
  4. Step 4: Simplify right side
    2,230.10x = 2,573,235.89
  5. Step 5: Solve for x
    x = 2,573,235.89/2,230.10
  6. Step 6: Final answer
    x = 1,153.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.