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Finding the Fourth Proportional to 2,736.62, 3,776.54 and 1,557.70

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Solution

The fourth proportional to 2,736.62, 3,776.54 and 1,557.70 is: 2,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.62 : 3,776.54 = 1,557.70 : x
  2. Step 2: Convert to fraction form
    2,736.62/3,776.54 = 1,557.70/x
  3. Step 3: Cross multiply
    2,736.62x = 3,776.54 × 1,557.70
  4. Step 4: Simplify right side
    2,736.62x = 5,882,716.36
  5. Step 5: Solve for x
    x = 5,882,716.36/2,736.62
  6. Step 6: Final answer
    x = 2,149.63

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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.