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Finding the Fourth Proportional to 2,083.71, 3,122.43 and 1,387.92

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Solution

The fourth proportional to 2,083.71, 3,122.43 and 1,387.92 is: 2,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.71 : 3,122.43 = 1,387.92 : x
  2. Step 2: Convert to fraction form
    2,083.71/3,122.43 = 1,387.92/x
  3. Step 3: Cross multiply
    2,083.71x = 3,122.43 × 1,387.92
  4. Step 4: Simplify right side
    2,083.71x = 4,333,683.05
  5. Step 5: Solve for x
    x = 4,333,683.05/2,083.71
  6. Step 6: Final answer
    x = 2,079.79

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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.