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Finding the Fourth Proportional to 2,087.53, 3,131.29 and 854.94

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Solution

The fourth proportional to 2,087.53, 3,131.29 and 854.94 is: 1,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.53 : 3,131.29 = 854.94 : x
  2. Step 2: Convert to fraction form
    2,087.53/3,131.29 = 854.94/x
  3. Step 3: Cross multiply
    2,087.53x = 3,131.29 × 854.94
  4. Step 4: Simplify right side
    2,087.53x = 2,677,062.94
  5. Step 5: Solve for x
    x = 2,677,062.94/2,087.53
  6. Step 6: Final answer
    x = 1,282.41

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Why These Related Problems?

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