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Finding the Fourth Proportional to 2,293.43, 3,439.82 and 906.41

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Solution

The fourth proportional to 2,293.43, 3,439.82 and 906.41 is: 1,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.43 : 3,439.82 = 906.41 : x
  2. Step 2: Convert to fraction form
    2,293.43/3,439.82 = 906.41/x
  3. Step 3: Cross multiply
    2,293.43x = 3,439.82 × 906.41
  4. Step 4: Simplify right side
    2,293.43x = 3,117,865.52
  5. Step 5: Solve for x
    x = 3,117,865.52/2,293.43
  6. Step 6: Final answer
    x = 1,359.48

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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.