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Finding the Fourth Proportional to 2,083.17, 3,122.31 and 986.04

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Solution

The fourth proportional to 2,083.17, 3,122.31 and 986.04 is: 1,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.17 : 3,122.31 = 986.04 : x
  2. Step 2: Convert to fraction form
    2,083.17/3,122.31 = 986.04/x
  3. Step 3: Cross multiply
    2,083.17x = 3,122.31 × 986.04
  4. Step 4: Simplify right side
    2,083.17x = 3,078,722.55
  5. Step 5: Solve for x
    x = 3,078,722.55/2,083.17
  6. Step 6: Final answer
    x = 1,477.90

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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.