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Finding the Fourth Proportional to 1,977.39, 2,728.73 and 1,093.17

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Solution

The fourth proportional to 1,977.39, 2,728.73 and 1,093.17 is: 1,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.39 : 2,728.73 = 1,093.17 : x
  2. Step 2: Convert to fraction form
    1,977.39/2,728.73 = 1,093.17/x
  3. Step 3: Cross multiply
    1,977.39x = 2,728.73 × 1,093.17
  4. Step 4: Simplify right side
    1,977.39x = 2,982,960.31
  5. Step 5: Solve for x
    x = 2,982,960.31/1,977.39
  6. Step 6: Final answer
    x = 1,508.53

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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.