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Finding the Fourth Proportional to 1,638.52, 2,448.20 and 1,581.11

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Solution

The fourth proportional to 1,638.52, 2,448.20 and 1,581.11 is: 2,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.52 : 2,448.20 = 1,581.11 : x
  2. Step 2: Convert to fraction form
    1,638.52/2,448.20 = 1,581.11/x
  3. Step 3: Cross multiply
    1,638.52x = 2,448.20 × 1,581.11
  4. Step 4: Simplify right side
    1,638.52x = 3,870,873.50
  5. Step 5: Solve for x
    x = 3,870,873.50/1,638.52
  6. Step 6: Final answer
    x = 2,362.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.