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Finding the Fourth Proportional to 1,361.22, 1,877.95 and 888.97

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Solution

The fourth proportional to 1,361.22, 1,877.95 and 888.97 is: 1,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.22 : 1,877.95 = 888.97 : x
  2. Step 2: Convert to fraction form
    1,361.22/1,877.95 = 888.97/x
  3. Step 3: Cross multiply
    1,361.22x = 1,877.95 × 888.97
  4. Step 4: Simplify right side
    1,361.22x = 1,669,441.21
  5. Step 5: Solve for x
    x = 1,669,441.21/1,361.22
  6. Step 6: Final answer
    x = 1,226.43

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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.