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Finding the Fourth Proportional to 2,632.17, 3,633 and 1,638.21

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Solution

The fourth proportional to 2,632.17, 3,633 and 1,638.21 is: 2,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.17 : 3,633 = 1,638.21 : x
  2. Step 2: Convert to fraction form
    2,632.17/3,633 = 1,638.21/x
  3. Step 3: Cross multiply
    2,632.17x = 3,633 × 1,638.21
  4. Step 4: Simplify right side
    2,632.17x = 5,951,616.93
  5. Step 5: Solve for x
    x = 5,951,616.93/2,632.17
  6. Step 6: Final answer
    x = 2,261.11

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Why These Related Problems?

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