Home / 1,864.18-2,797.17-824.04

Finding the Fourth Proportional to 1,864.18, 2,797.17 and 824.04

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Solution

The fourth proportional to 1,864.18, 2,797.17 and 824.04 is: 1,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.18 : 2,797.17 = 824.04 : x
  2. Step 2: Convert to fraction form
    1,864.18/2,797.17 = 824.04/x
  3. Step 3: Cross multiply
    1,864.18x = 2,797.17 × 824.04
  4. Step 4: Simplify right side
    1,864.18x = 2,304,976.88
  5. Step 5: Solve for x
    x = 2,304,976.88/1,864.18
  6. Step 6: Final answer
    x = 1,236.46

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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.