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Finding the Fourth Proportional to 1,838.36, 2,757.54 and 683.48

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Solution

The fourth proportional to 1,838.36, 2,757.54 and 683.48 is: 1,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.36 : 2,757.54 = 683.48 : x
  2. Step 2: Convert to fraction form
    1,838.36/2,757.54 = 683.48/x
  3. Step 3: Cross multiply
    1,838.36x = 2,757.54 × 683.48
  4. Step 4: Simplify right side
    1,838.36x = 1,884,723.44
  5. Step 5: Solve for x
    x = 1,884,723.44/1,838.36
  6. Step 6: Final answer
    x = 1,025.22

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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.