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Finding the Fourth Proportional to 1,891, 2,836.68 and 1,673.65

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Solution

The fourth proportional to 1,891, 2,836.68 and 1,673.65 is: 2,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891 : 2,836.68 = 1,673.65 : x
  2. Step 2: Convert to fraction form
    1,891/2,836.68 = 1,673.65/x
  3. Step 3: Cross multiply
    1,891x = 2,836.68 × 1,673.65
  4. Step 4: Simplify right side
    1,891x = 4,747,609.48
  5. Step 5: Solve for x
    x = 4,747,609.48/1,891
  6. Step 6: Final answer
    x = 2,510.63

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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.