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Finding the Fourth Proportional to 2,083.91, 2,872.55 and 1,419.62

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Solution

The fourth proportional to 2,083.91, 2,872.55 and 1,419.62 is: 1,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.91 : 2,872.55 = 1,419.62 : x
  2. Step 2: Convert to fraction form
    2,083.91/2,872.55 = 1,419.62/x
  3. Step 3: Cross multiply
    2,083.91x = 2,872.55 × 1,419.62
  4. Step 4: Simplify right side
    2,083.91x = 4,077,918.62
  5. Step 5: Solve for x
    x = 4,077,918.62/2,083.91
  6. Step 6: Final answer
    x = 1,956.86

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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.