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Finding the Fourth Proportional to 1,761.54, 2,429.78 and 1,172.12

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Solution

The fourth proportional to 1,761.54, 2,429.78 and 1,172.12 is: 1,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.54 : 2,429.78 = 1,172.12 : x
  2. Step 2: Convert to fraction form
    1,761.54/2,429.78 = 1,172.12/x
  3. Step 3: Cross multiply
    1,761.54x = 2,429.78 × 1,172.12
  4. Step 4: Simplify right side
    1,761.54x = 2,847,993.73
  5. Step 5: Solve for x
    x = 2,847,993.73/1,761.54
  6. Step 6: Final answer
    x = 1,616.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.