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Finding the Fourth Proportional to 1,759.07, 2,637.89 and 881.27

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Solution

The fourth proportional to 1,759.07, 2,637.89 and 881.27 is: 1,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.07 : 2,637.89 = 881.27 : x
  2. Step 2: Convert to fraction form
    1,759.07/2,637.89 = 881.27/x
  3. Step 3: Cross multiply
    1,759.07x = 2,637.89 × 881.27
  4. Step 4: Simplify right side
    1,759.07x = 2,324,675.72
  5. Step 5: Solve for x
    x = 2,324,675.72/1,759.07
  6. Step 6: Final answer
    x = 1,321.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.