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Finding the Fourth Proportional to 2,736, 3,775.68 and 1,632

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Solution

The fourth proportional to 2,736, 3,775.68 and 1,632 is: 2,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736 : 3,775.68 = 1,632 : x
  2. Step 2: Convert to fraction form
    2,736/3,775.68 = 1,632/x
  3. Step 3: Cross multiply
    2,736x = 3,775.68 × 1,632
  4. Step 4: Simplify right side
    2,736x = 6,161,909.76
  5. Step 5: Solve for x
    x = 6,161,909.76/2,736
  6. Step 6: Final answer
    x = 2,252.16

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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.