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Finding the Fourth Proportional to 2,201.92, 3,036.90 and 1,871.44

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Solution

The fourth proportional to 2,201.92, 3,036.90 and 1,871.44 is: 2,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.92 : 3,036.90 = 1,871.44 : x
  2. Step 2: Convert to fraction form
    2,201.92/3,036.90 = 1,871.44/x
  3. Step 3: Cross multiply
    2,201.92x = 3,036.90 × 1,871.44
  4. Step 4: Simplify right side
    2,201.92x = 5,683,376.14
  5. Step 5: Solve for x
    x = 5,683,376.14/2,201.92
  6. Step 6: Final answer
    x = 2,581.10

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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.