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Finding the Fourth Proportional to 1,977.71, 2,727.97 and 1,191

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Solution

The fourth proportional to 1,977.71, 2,727.97 and 1,191 is: 1,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.71 : 2,727.97 = 1,191 : x
  2. Step 2: Convert to fraction form
    1,977.71/2,727.97 = 1,191/x
  3. Step 3: Cross multiply
    1,977.71x = 2,727.97 × 1,191
  4. Step 4: Simplify right side
    1,977.71x = 3,249,012.27
  5. Step 5: Solve for x
    x = 3,249,012.27/1,977.71
  6. Step 6: Final answer
    x = 1,642.82

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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.