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Finding the Fourth Proportional to 2,083.17, 2,862.75 and 1,986.80

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Solution

The fourth proportional to 2,083.17, 2,862.75 and 1,986.80 is: 2,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.17 : 2,862.75 = 1,986.80 : x
  2. Step 2: Convert to fraction form
    2,083.17/2,862.75 = 1,986.80/x
  3. Step 3: Cross multiply
    2,083.17x = 2,862.75 × 1,986.80
  4. Step 4: Simplify right side
    2,083.17x = 5,687,699.58
  5. Step 5: Solve for x
    x = 5,687,699.58/2,083.17
  6. Step 6: Final answer
    x = 2,730.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.