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Finding the Fourth Proportional to 2,083.13, 2,874.53 and 1,138.87

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Solution

The fourth proportional to 2,083.13, 2,874.53 and 1,138.87 is: 1,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.13 : 2,874.53 = 1,138.87 : x
  2. Step 2: Convert to fraction form
    2,083.13/2,874.53 = 1,138.87/x
  3. Step 3: Cross multiply
    2,083.13x = 2,874.53 × 1,138.87
  4. Step 4: Simplify right side
    2,083.13x = 3,273,703.10
  5. Step 5: Solve for x
    x = 3,273,703.10/2,083.13
  6. Step 6: Final answer
    x = 1,571.53

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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.