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Finding the Fourth Proportional to 1,640.30, 2,471.49 and 1,463.45

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Solution

The fourth proportional to 1,640.30, 2,471.49 and 1,463.45 is: 2,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.30 : 2,471.49 = 1,463.45 : x
  2. Step 2: Convert to fraction form
    1,640.30/2,471.49 = 1,463.45/x
  3. Step 3: Cross multiply
    1,640.30x = 2,471.49 × 1,463.45
  4. Step 4: Simplify right side
    1,640.30x = 3,616,889.68
  5. Step 5: Solve for x
    x = 3,616,889.68/1,640.30
  6. Step 6: Final answer
    x = 2,205.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.