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Finding the Fourth Proportional to 2,087.73, 2,881.15 and 1,143.47

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Solution

The fourth proportional to 2,087.73, 2,881.15 and 1,143.47 is: 1,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.73 : 2,881.15 = 1,143.47 : x
  2. Step 2: Convert to fraction form
    2,087.73/2,881.15 = 1,143.47/x
  3. Step 3: Cross multiply
    2,087.73x = 2,881.15 × 1,143.47
  4. Step 4: Simplify right side
    2,087.73x = 3,294,512.93
  5. Step 5: Solve for x
    x = 3,294,512.93/2,087.73
  6. Step 6: Final answer
    x = 1,578.04

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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.