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Finding the Fourth Proportional to 2,087.98, 2,881.37 and 1,143.79

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Solution

The fourth proportional to 2,087.98, 2,881.37 and 1,143.79 is: 1,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.98 : 2,881.37 = 1,143.79 : x
  2. Step 2: Convert to fraction form
    2,087.98/2,881.37 = 1,143.79/x
  3. Step 3: Cross multiply
    2,087.98x = 2,881.37 × 1,143.79
  4. Step 4: Simplify right side
    2,087.98x = 3,295,677.85
  5. Step 5: Solve for x
    x = 3,295,677.85/2,087.98
  6. Step 6: Final answer
    x = 1,578.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.