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Finding the Fourth Proportional to 2,243.94, 3,364.93 and 683.57

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Solution

The fourth proportional to 2,243.94, 3,364.93 and 683.57 is: 1,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.94 : 3,364.93 = 683.57 : x
  2. Step 2: Convert to fraction form
    2,243.94/3,364.93 = 683.57/x
  3. Step 3: Cross multiply
    2,243.94x = 3,364.93 × 683.57
  4. Step 4: Simplify right side
    2,243.94x = 2,300,171.90
  5. Step 5: Solve for x
    x = 2,300,171.90/2,243.94
  6. Step 6: Final answer
    x = 1,025.06

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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.