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Finding the Fourth Proportional to 2,243.73, 3,365.72 and 683.78

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Solution

The fourth proportional to 2,243.73, 3,365.72 and 683.78 is: 1,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.73 : 3,365.72 = 683.78 : x
  2. Step 2: Convert to fraction form
    2,243.73/3,365.72 = 683.78/x
  3. Step 3: Cross multiply
    2,243.73x = 3,365.72 × 683.78
  4. Step 4: Simplify right side
    2,243.73x = 2,301,391.77
  5. Step 5: Solve for x
    x = 2,301,391.77/2,243.73
  6. Step 6: Final answer
    x = 1,025.70

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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.