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Finding the Fourth Proportional to 2,273.57, 3,137.09 and 1,377.13

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Solution

The fourth proportional to 2,273.57, 3,137.09 and 1,377.13 is: 1,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.57 : 3,137.09 = 1,377.13 : x
  2. Step 2: Convert to fraction form
    2,273.57/3,137.09 = 1,377.13/x
  3. Step 3: Cross multiply
    2,273.57x = 3,137.09 × 1,377.13
  4. Step 4: Simplify right side
    2,273.57x = 4,320,172.77
  5. Step 5: Solve for x
    x = 4,320,172.77/2,273.57
  6. Step 6: Final answer
    x = 1,900.17

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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.