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Finding the Fourth Proportional to 2,293.25, 3,441.49 and 906.63

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Solution

The fourth proportional to 2,293.25, 3,441.49 and 906.63 is: 1,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.25 : 3,441.49 = 906.63 : x
  2. Step 2: Convert to fraction form
    2,293.25/3,441.49 = 906.63/x
  3. Step 3: Cross multiply
    2,293.25x = 3,441.49 × 906.63
  4. Step 4: Simplify right side
    2,293.25x = 3,120,142.91
  5. Step 5: Solve for x
    x = 3,120,142.91/2,293.25
  6. Step 6: Final answer
    x = 1,360.58

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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.