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Finding the Fourth Proportional to 2,131.13, 3,197.46 and 744.85

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Solution

The fourth proportional to 2,131.13, 3,197.46 and 744.85 is: 1,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.13 : 3,197.46 = 744.85 : x
  2. Step 2: Convert to fraction form
    2,131.13/3,197.46 = 744.85/x
  3. Step 3: Cross multiply
    2,131.13x = 3,197.46 × 744.85
  4. Step 4: Simplify right side
    2,131.13x = 2,381,612.70
  5. Step 5: Solve for x
    x = 2,381,612.70/2,131.13
  6. Step 6: Final answer
    x = 1,117.54

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