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Finding the Fourth Proportional to 1,977.38, 2,727.60 and 1,268.97

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Solution

The fourth proportional to 1,977.38, 2,727.60 and 1,268.97 is: 1,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.38 : 2,727.60 = 1,268.97 : x
  2. Step 2: Convert to fraction form
    1,977.38/2,727.60 = 1,268.97/x
  3. Step 3: Cross multiply
    1,977.38x = 2,727.60 × 1,268.97
  4. Step 4: Simplify right side
    1,977.38x = 3,461,242.57
  5. Step 5: Solve for x
    x = 3,461,242.57/1,977.38
  6. Step 6: Final answer
    x = 1,750.42

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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.