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Finding the Fourth Proportional to 2,736, 4,122.63 and 2,437.65

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Solution

The fourth proportional to 2,736, 4,122.63 and 2,437.65 is: 3,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736 : 4,122.63 = 2,437.65 : x
  2. Step 2: Convert to fraction form
    2,736/4,122.63 = 2,437.65/x
  3. Step 3: Cross multiply
    2,736x = 4,122.63 × 2,437.65
  4. Step 4: Simplify right side
    2,736x = 10,049,529.02
  5. Step 5: Solve for x
    x = 10,049,529.02/2,736
  6. Step 6: Final answer
    x = 3,673.07

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Why These Related Problems?

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