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Finding the Fourth Proportional to 2,083.70, 2,874.17 and 1,641.42

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Solution

The fourth proportional to 2,083.70, 2,874.17 and 1,641.42 is: 2,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.70 : 2,874.17 = 1,641.42 : x
  2. Step 2: Convert to fraction form
    2,083.70/2,874.17 = 1,641.42/x
  3. Step 3: Cross multiply
    2,083.70x = 2,874.17 × 1,641.42
  4. Step 4: Simplify right side
    2,083.70x = 4,717,720.12
  5. Step 5: Solve for x
    x = 4,717,720.12/2,083.70
  6. Step 6: Final answer
    x = 2,264.11

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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.