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Finding the Fourth Proportional to 2,087.49, 3,131.13 and 854.59

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Solution

The fourth proportional to 2,087.49, 3,131.13 and 854.59 is: 1,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.49 : 3,131.13 = 854.59 : x
  2. Step 2: Convert to fraction form
    2,087.49/3,131.13 = 854.59/x
  3. Step 3: Cross multiply
    2,087.49x = 3,131.13 × 854.59
  4. Step 4: Simplify right side
    2,087.49x = 2,675,832.39
  5. Step 5: Solve for x
    x = 2,675,832.39/2,087.49
  6. Step 6: Final answer
    x = 1,281.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.