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Finding the Fourth Proportional to 1,991.32, 2,745.80 and 1,361.95

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Solution

The fourth proportional to 1,991.32, 2,745.80 and 1,361.95 is: 1,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.32 : 2,745.80 = 1,361.95 : x
  2. Step 2: Convert to fraction form
    1,991.32/2,745.80 = 1,361.95/x
  3. Step 3: Cross multiply
    1,991.32x = 2,745.80 × 1,361.95
  4. Step 4: Simplify right side
    1,991.32x = 3,739,642.31
  5. Step 5: Solve for x
    x = 3,739,642.31/1,991.32
  6. Step 6: Final answer
    x = 1,877.97

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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.