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Finding the Fourth Proportional to 1,761.73, 2,641.39 and 665.16

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Solution

The fourth proportional to 1,761.73, 2,641.39 and 665.16 is: 997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.73 : 2,641.39 = 665.16 : x
  2. Step 2: Convert to fraction form
    1,761.73/2,641.39 = 665.16/x
  3. Step 3: Cross multiply
    1,761.73x = 2,641.39 × 665.16
  4. Step 4: Simplify right side
    1,761.73x = 1,756,935.40
  5. Step 5: Solve for x
    x = 1,756,935.40/1,761.73
  6. Step 6: Final answer
    x = 997.28

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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.