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Finding the Fourth Proportional to 2,274.54, 3,143.79 and 2,099.58

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Solution

The fourth proportional to 2,274.54, 3,143.79 and 2,099.58 is: 2,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.54 : 3,143.79 = 2,099.58 : x
  2. Step 2: Convert to fraction form
    2,274.54/3,143.79 = 2,099.58/x
  3. Step 3: Cross multiply
    2,274.54x = 3,143.79 × 2,099.58
  4. Step 4: Simplify right side
    2,274.54x = 6,600,638.61
  5. Step 5: Solve for x
    x = 6,600,638.61/2,274.54
  6. Step 6: Final answer
    x = 2,901.97

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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.