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Finding the Fourth Proportional to 2,215.75, 3,323.63 and 917.25

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Solution

The fourth proportional to 2,215.75, 3,323.63 and 917.25 is: 1,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.75 : 3,323.63 = 917.25 : x
  2. Step 2: Convert to fraction form
    2,215.75/3,323.63 = 917.25/x
  3. Step 3: Cross multiply
    2,215.75x = 3,323.63 × 917.25
  4. Step 4: Simplify right side
    2,215.75x = 3,048,599.62
  5. Step 5: Solve for x
    x = 3,048,599.62/2,215.75
  6. Step 6: Final answer
    x = 1,375.88

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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.