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Finding the Fourth Proportional to 2,543.87, 3,814.83 and 1,021.97

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Solution

The fourth proportional to 2,543.87, 3,814.83 and 1,021.97 is: 1,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.87 : 3,814.83 = 1,021.97 : x
  2. Step 2: Convert to fraction form
    2,543.87/3,814.83 = 1,021.97/x
  3. Step 3: Cross multiply
    2,543.87x = 3,814.83 × 1,021.97
  4. Step 4: Simplify right side
    2,543.87x = 3,898,629.89
  5. Step 5: Solve for x
    x = 3,898,629.89/2,543.87
  6. Step 6: Final answer
    x = 1,532.56

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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.