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Finding the Fourth Proportional to 2,150.04, 3,226.26 and 917.31

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Solution

The fourth proportional to 2,150.04, 3,226.26 and 917.31 is: 1,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.04 : 3,226.26 = 917.31 : x
  2. Step 2: Convert to fraction form
    2,150.04/3,226.26 = 917.31/x
  3. Step 3: Cross multiply
    2,150.04x = 3,226.26 × 917.31
  4. Step 4: Simplify right side
    2,150.04x = 2,959,480.56
  5. Step 5: Solve for x
    x = 2,959,480.56/2,150.04
  6. Step 6: Final answer
    x = 1,376.48

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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.