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Finding the Fourth Proportional to 2,638.72, 3,640.51 and 1,643.18

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Solution

The fourth proportional to 2,638.72, 3,640.51 and 1,643.18 is: 2,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.72 : 3,640.51 = 1,643.18 : x
  2. Step 2: Convert to fraction form
    2,638.72/3,640.51 = 1,643.18/x
  3. Step 3: Cross multiply
    2,638.72x = 3,640.51 × 1,643.18
  4. Step 4: Simplify right side
    2,638.72x = 5,981,986.80
  5. Step 5: Solve for x
    x = 5,981,986.80/2,638.72
  6. Step 6: Final answer
    x = 2,267.01

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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.