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Finding the Fourth Proportional to 1,977.77, 2,729.27 and 1,093.55

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Solution

The fourth proportional to 1,977.77, 2,729.27 and 1,093.55 is: 1,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.77 : 2,729.27 = 1,093.55 : x
  2. Step 2: Convert to fraction form
    1,977.77/2,729.27 = 1,093.55/x
  3. Step 3: Cross multiply
    1,977.77x = 2,729.27 × 1,093.55
  4. Step 4: Simplify right side
    1,977.77x = 2,984,593.21
  5. Step 5: Solve for x
    x = 2,984,593.21/1,977.77
  6. Step 6: Final answer
    x = 1,509.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.