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Finding the Fourth Proportional to 1,977.66, 2,729.07 and 1,138.50

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Solution

The fourth proportional to 1,977.66, 2,729.07 and 1,138.50 is: 1,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.66 : 2,729.07 = 1,138.50 : x
  2. Step 2: Convert to fraction form
    1,977.66/2,729.07 = 1,138.50/x
  3. Step 3: Cross multiply
    1,977.66x = 2,729.07 × 1,138.50
  4. Step 4: Simplify right side
    1,977.66x = 3,107,046.20
  5. Step 5: Solve for x
    x = 3,107,046.20/1,977.66
  6. Step 6: Final answer
    x = 1,571.07

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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.