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Finding the Fourth Proportional to 1,977.87, 2,729.14 and 1,093.50

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Solution

The fourth proportional to 1,977.87, 2,729.14 and 1,093.50 is: 1,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.87 : 2,729.14 = 1,093.50 : x
  2. Step 2: Convert to fraction form
    1,977.87/2,729.14 = 1,093.50/x
  3. Step 3: Cross multiply
    1,977.87x = 2,729.14 × 1,093.50
  4. Step 4: Simplify right side
    1,977.87x = 2,984,311.09
  5. Step 5: Solve for x
    x = 2,984,311.09/1,977.87
  6. Step 6: Final answer
    x = 1,508.85

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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.