Home / 1,649.17-2,473.89-827.43

Finding the Fourth Proportional to 1,649.17, 2,473.89 and 827.43

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Solution

The fourth proportional to 1,649.17, 2,473.89 and 827.43 is: 1,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.17 : 2,473.89 = 827.43 : x
  2. Step 2: Convert to fraction form
    1,649.17/2,473.89 = 827.43/x
  3. Step 3: Cross multiply
    1,649.17x = 2,473.89 × 827.43
  4. Step 4: Simplify right side
    1,649.17x = 2,046,970.80
  5. Step 5: Solve for x
    x = 2,046,970.80/1,649.17
  6. Step 6: Final answer
    x = 1,241.21

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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.