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Finding the Fourth Proportional to 1,862.09, 2,793.56 and 822.39

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Solution

The fourth proportional to 1,862.09, 2,793.56 and 822.39 is: 1,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.09 : 2,793.56 = 822.39 : x
  2. Step 2: Convert to fraction form
    1,862.09/2,793.56 = 822.39/x
  3. Step 3: Cross multiply
    1,862.09x = 2,793.56 × 822.39
  4. Step 4: Simplify right side
    1,862.09x = 2,297,395.81
  5. Step 5: Solve for x
    x = 2,297,395.81/1,862.09
  6. Step 6: Final answer
    x = 1,233.77

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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.