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Finding the Fourth Proportional to 2,087.99, 2,881.50 and 1,143.84

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Solution

The fourth proportional to 2,087.99, 2,881.50 and 1,143.84 is: 1,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.99 : 2,881.50 = 1,143.84 : x
  2. Step 2: Convert to fraction form
    2,087.99/2,881.50 = 1,143.84/x
  3. Step 3: Cross multiply
    2,087.99x = 2,881.50 × 1,143.84
  4. Step 4: Simplify right side
    2,087.99x = 3,295,974.96
  5. Step 5: Solve for x
    x = 3,295,974.96/2,087.99
  6. Step 6: Final answer
    x = 1,578.54

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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.