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Finding the Fourth Proportional to 2,052.92, 3,076.41 and 1,398.44

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Solution

The fourth proportional to 2,052.92, 3,076.41 and 1,398.44 is: 2,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.92 : 3,076.41 = 1,398.44 : x
  2. Step 2: Convert to fraction form
    2,052.92/3,076.41 = 1,398.44/x
  3. Step 3: Cross multiply
    2,052.92x = 3,076.41 × 1,398.44
  4. Step 4: Simplify right side
    2,052.92x = 4,302,174.80
  5. Step 5: Solve for x
    x = 4,302,174.80/2,052.92
  6. Step 6: Final answer
    x = 2,095.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.