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Finding the Fourth Proportional to 1,647.29, 2,471.33 and 1,161.29

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Solution

The fourth proportional to 1,647.29, 2,471.33 and 1,161.29 is: 1,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.29 : 2,471.33 = 1,161.29 : x
  2. Step 2: Convert to fraction form
    1,647.29/2,471.33 = 1,161.29/x
  3. Step 3: Cross multiply
    1,647.29x = 2,471.33 × 1,161.29
  4. Step 4: Simplify right side
    1,647.29x = 2,869,930.82
  5. Step 5: Solve for x
    x = 2,869,930.82/1,647.29
  6. Step 6: Final answer
    x = 1,742.21

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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.