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Finding the Fourth Proportional to 2,772.61, 3,823.28 and 2,143.24

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Solution

The fourth proportional to 2,772.61, 3,823.28 and 2,143.24 is: 2,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.61 : 3,823.28 = 2,143.24 : x
  2. Step 2: Convert to fraction form
    2,772.61/3,823.28 = 2,143.24/x
  3. Step 3: Cross multiply
    2,772.61x = 3,823.28 × 2,143.24
  4. Step 4: Simplify right side
    2,772.61x = 8,194,221.54
  5. Step 5: Solve for x
    x = 8,194,221.54/2,772.61
  6. Step 6: Final answer
    x = 2,955.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.