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Finding the Fourth Proportional to 2,243.18, 3,364.91 and 683.29

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Solution

The fourth proportional to 2,243.18, 3,364.91 and 683.29 is: 1,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.18 : 3,364.91 = 683.29 : x
  2. Step 2: Convert to fraction form
    2,243.18/3,364.91 = 683.29/x
  3. Step 3: Cross multiply
    2,243.18x = 3,364.91 × 683.29
  4. Step 4: Simplify right side
    2,243.18x = 2,299,212.71
  5. Step 5: Solve for x
    x = 2,299,212.71/2,243.18
  6. Step 6: Final answer
    x = 1,024.98

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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.