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Finding the Fourth Proportional to 2,243.31, 3,364.74 and 926.69

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Solution

The fourth proportional to 2,243.31, 3,364.74 and 926.69 is: 1,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.31 : 3,364.74 = 926.69 : x
  2. Step 2: Convert to fraction form
    2,243.31/3,364.74 = 926.69/x
  3. Step 3: Cross multiply
    2,243.31x = 3,364.74 × 926.69
  4. Step 4: Simplify right side
    2,243.31x = 3,118,054.09
  5. Step 5: Solve for x
    x = 3,118,054.09/2,243.31
  6. Step 6: Final answer
    x = 1,389.94

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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.