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Finding the Fourth Proportional to 1,991.74, 2,986.89 and 758.53

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Solution

The fourth proportional to 1,991.74, 2,986.89 and 758.53 is: 1,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.74 : 2,986.89 = 758.53 : x
  2. Step 2: Convert to fraction form
    1,991.74/2,986.89 = 758.53/x
  3. Step 3: Cross multiply
    1,991.74x = 2,986.89 × 758.53
  4. Step 4: Simplify right side
    1,991.74x = 2,265,645.67
  5. Step 5: Solve for x
    x = 2,265,645.67/1,991.74
  6. Step 6: Final answer
    x = 1,137.52

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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.