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Finding the Fourth Proportional to 2,283.47, 3,422.76 and 822.20

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Solution

The fourth proportional to 2,283.47, 3,422.76 and 822.20 is: 1,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.47 : 3,422.76 = 822.20 : x
  2. Step 2: Convert to fraction form
    2,283.47/3,422.76 = 822.20/x
  3. Step 3: Cross multiply
    2,283.47x = 3,422.76 × 822.20
  4. Step 4: Simplify right side
    2,283.47x = 2,814,193.27
  5. Step 5: Solve for x
    x = 2,814,193.27/2,283.47
  6. Step 6: Final answer
    x = 1,232.42

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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.