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Finding the Fourth Proportional to 1,838.32, 2,757.60 and 683.68

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Solution

The fourth proportional to 1,838.32, 2,757.60 and 683.68 is: 1,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.32 : 2,757.60 = 683.68 : x
  2. Step 2: Convert to fraction form
    1,838.32/2,757.60 = 683.68/x
  3. Step 3: Cross multiply
    1,838.32x = 2,757.60 × 683.68
  4. Step 4: Simplify right side
    1,838.32x = 1,885,315.97
  5. Step 5: Solve for x
    x = 1,885,315.97/1,838.32
  6. Step 6: Final answer
    x = 1,025.56

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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.