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Finding the Fourth Proportional to 2,982.52, 4,120.14 and 2,458.36

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Solution

The fourth proportional to 2,982.52, 4,120.14 and 2,458.36 is: 3,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.52 : 4,120.14 = 2,458.36 : x
  2. Step 2: Convert to fraction form
    2,982.52/4,120.14 = 2,458.36/x
  3. Step 3: Cross multiply
    2,982.52x = 4,120.14 × 2,458.36
  4. Step 4: Simplify right side
    2,982.52x = 10,128,787.37
  5. Step 5: Solve for x
    x = 10,128,787.37/2,982.52
  6. Step 6: Final answer
    x = 3,396.05

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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.