Home / 1,553.85-2,327.00-822.96

Finding the Fourth Proportional to 1,553.85, 2,327.00 and 822.96

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Solution

The fourth proportional to 1,553.85, 2,327.00 and 822.96 is: 1,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.85 : 2,327.00 = 822.96 : x
  2. Step 2: Convert to fraction form
    1,553.85/2,327.00 = 822.96/x
  3. Step 3: Cross multiply
    1,553.85x = 2,327.00 × 822.96
  4. Step 4: Simplify right side
    1,553.85x = 1,915,023.81
  5. Step 5: Solve for x
    x = 1,915,023.81/1,553.85
  6. Step 6: Final answer
    x = 1,232.44

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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.