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Finding the Fourth Proportional to 1,891.23, 2,836.66 and 658.59

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Solution

The fourth proportional to 1,891.23, 2,836.66 and 658.59 is: 987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.23 : 2,836.66 = 658.59 : x
  2. Step 2: Convert to fraction form
    1,891.23/2,836.66 = 658.59/x
  3. Step 3: Cross multiply
    1,891.23x = 2,836.66 × 658.59
  4. Step 4: Simplify right side
    1,891.23x = 1,868,195.91
  5. Step 5: Solve for x
    x = 1,868,195.91/1,891.23
  6. Step 6: Final answer
    x = 987.82

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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.