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Finding the Fourth Proportional to 1,891.51, 2,837.25 and 658.57

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Solution

The fourth proportional to 1,891.51, 2,837.25 and 658.57 is: 987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.51 : 2,837.25 = 658.57 : x
  2. Step 2: Convert to fraction form
    1,891.51/2,837.25 = 658.57/x
  3. Step 3: Cross multiply
    1,891.51x = 2,837.25 × 658.57
  4. Step 4: Simplify right side
    1,891.51x = 1,868,527.73
  5. Step 5: Solve for x
    x = 1,868,527.73/1,891.51
  6. Step 6: Final answer
    x = 987.85

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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.