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Finding the Fourth Proportional to 2,888.36, 3,982.61 and 2,467.43

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Solution

The fourth proportional to 2,888.36, 3,982.61 and 2,467.43 is: 3,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.36 : 3,982.61 = 2,467.43 : x
  2. Step 2: Convert to fraction form
    2,888.36/3,982.61 = 2,467.43/x
  3. Step 3: Cross multiply
    2,888.36x = 3,982.61 × 2,467.43
  4. Step 4: Simplify right side
    2,888.36x = 9,826,799.06
  5. Step 5: Solve for x
    x = 9,826,799.06/2,888.36
  6. Step 6: Final answer
    x = 3,402.21

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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.