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Finding the Fourth Proportional to 2,283.72, 3,420.94 and 1,822.28

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Solution

The fourth proportional to 2,283.72, 3,420.94 and 1,822.28 is: 2,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.72 : 3,420.94 = 1,822.28 : x
  2. Step 2: Convert to fraction form
    2,283.72/3,420.94 = 1,822.28/x
  3. Step 3: Cross multiply
    2,283.72x = 3,420.94 × 1,822.28
  4. Step 4: Simplify right side
    2,283.72x = 6,233,910.54
  5. Step 5: Solve for x
    x = 6,233,910.54/2,283.72
  6. Step 6: Final answer
    x = 2,729.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.