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Finding the Fourth Proportional to 1,846.65, 2,768.17 and 691.59

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Solution

The fourth proportional to 1,846.65, 2,768.17 and 691.59 is: 1,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.65 : 2,768.17 = 691.59 : x
  2. Step 2: Convert to fraction form
    1,846.65/2,768.17 = 691.59/x
  3. Step 3: Cross multiply
    1,846.65x = 2,768.17 × 691.59
  4. Step 4: Simplify right side
    1,846.65x = 1,914,438.69
  5. Step 5: Solve for x
    x = 1,914,438.69/1,846.65
  6. Step 6: Final answer
    x = 1,036.71

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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.