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Finding the Fourth Proportional to 1,977.27, 2,728.77 and 1,180.63

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Solution

The fourth proportional to 1,977.27, 2,728.77 and 1,180.63 is: 1,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.27 : 2,728.77 = 1,180.63 : x
  2. Step 2: Convert to fraction form
    1,977.27/2,728.77 = 1,180.63/x
  3. Step 3: Cross multiply
    1,977.27x = 2,728.77 × 1,180.63
  4. Step 4: Simplify right side
    1,977.27x = 3,221,658.00
  5. Step 5: Solve for x
    x = 3,221,658.00/1,977.27
  6. Step 6: Final answer
    x = 1,629.35

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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.