Home / 2,304.90-3,455.33-823.41

Finding the Fourth Proportional to 2,304.90, 3,455.33 and 823.41

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Solution

The fourth proportional to 2,304.90, 3,455.33 and 823.41 is: 1,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.90 : 3,455.33 = 823.41 : x
  2. Step 2: Convert to fraction form
    2,304.90/3,455.33 = 823.41/x
  3. Step 3: Cross multiply
    2,304.90x = 3,455.33 × 823.41
  4. Step 4: Simplify right side
    2,304.90x = 2,845,149.16
  5. Step 5: Solve for x
    x = 2,845,149.16/2,304.90
  6. Step 6: Final answer
    x = 1,234.39

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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.