Home / 2,304.56-3,455.94-823.70

Finding the Fourth Proportional to 2,304.56, 3,455.94 and 823.70

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Solution

The fourth proportional to 2,304.56, 3,455.94 and 823.70 is: 1,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.56 : 3,455.94 = 823.70 : x
  2. Step 2: Convert to fraction form
    2,304.56/3,455.94 = 823.70/x
  3. Step 3: Cross multiply
    2,304.56x = 3,455.94 × 823.70
  4. Step 4: Simplify right side
    2,304.56x = 2,846,657.78
  5. Step 5: Solve for x
    x = 2,846,657.78/2,304.56
  6. Step 6: Final answer
    x = 1,235.23

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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.