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Finding the Fourth Proportional to 1,805.75, 2,704.82 and 1,147.29

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Solution

The fourth proportional to 1,805.75, 2,704.82 and 1,147.29 is: 1,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.75 : 2,704.82 = 1,147.29 : x
  2. Step 2: Convert to fraction form
    1,805.75/2,704.82 = 1,147.29/x
  3. Step 3: Cross multiply
    1,805.75x = 2,704.82 × 1,147.29
  4. Step 4: Simplify right side
    1,805.75x = 3,103,215.81
  5. Step 5: Solve for x
    x = 3,103,215.81/1,805.75
  6. Step 6: Final answer
    x = 1,718.52

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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.