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Finding the Fourth Proportional to 1,977.93, 2,730.07 and 1,138.73

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Solution

The fourth proportional to 1,977.93, 2,730.07 and 1,138.73 is: 1,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.93 : 2,730.07 = 1,138.73 : x
  2. Step 2: Convert to fraction form
    1,977.93/2,730.07 = 1,138.73/x
  3. Step 3: Cross multiply
    1,977.93x = 2,730.07 × 1,138.73
  4. Step 4: Simplify right side
    1,977.93x = 3,108,800.38
  5. Step 5: Solve for x
    x = 3,108,800.38/1,977.93
  6. Step 6: Final answer
    x = 1,571.74

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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.