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Finding the Fourth Proportional to 2,087.91, 2,881.31 and 1,143.69

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Solution

The fourth proportional to 2,087.91, 2,881.31 and 1,143.69 is: 1,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.91 : 2,881.31 = 1,143.69 : x
  2. Step 2: Convert to fraction form
    2,087.91/2,881.31 = 1,143.69/x
  3. Step 3: Cross multiply
    2,087.91x = 2,881.31 × 1,143.69
  4. Step 4: Simplify right side
    2,087.91x = 3,295,319.72
  5. Step 5: Solve for x
    x = 3,295,319.72/2,087.91
  6. Step 6: Final answer
    x = 1,578.29

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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.