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Finding the Fourth Proportional to 2,039.53, 3,057.54 and 943.33

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Solution

The fourth proportional to 2,039.53, 3,057.54 and 943.33 is: 1,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.53 : 3,057.54 = 943.33 : x
  2. Step 2: Convert to fraction form
    2,039.53/3,057.54 = 943.33/x
  3. Step 3: Cross multiply
    2,039.53x = 3,057.54 × 943.33
  4. Step 4: Simplify right side
    2,039.53x = 2,884,269.21
  5. Step 5: Solve for x
    x = 2,884,269.21/2,039.53
  6. Step 6: Final answer
    x = 1,414.18

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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.