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Finding the Fourth Proportional to 2,736, 3,775.68 and 2,516.16

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Solution

The fourth proportional to 2,736, 3,775.68 and 2,516.16 is: 3,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736 : 3,775.68 = 2,516.16 : x
  2. Step 2: Convert to fraction form
    2,736/3,775.68 = 2,516.16/x
  3. Step 3: Cross multiply
    2,736x = 3,775.68 × 2,516.16
  4. Step 4: Simplify right side
    2,736x = 9,500,214.99
  5. Step 5: Solve for x
    x = 9,500,214.99/2,736
  6. Step 6: Final answer
    x = 3,472.30

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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.