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Finding the Fourth Proportional to 2,150.73, 3,224.70 and 917.80

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Solution

The fourth proportional to 2,150.73, 3,224.70 and 917.80 is: 1,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.73 : 3,224.70 = 917.80 : x
  2. Step 2: Convert to fraction form
    2,150.73/3,224.70 = 917.80/x
  3. Step 3: Cross multiply
    2,150.73x = 3,224.70 × 917.80
  4. Step 4: Simplify right side
    2,150.73x = 2,959,629.66
  5. Step 5: Solve for x
    x = 2,959,629.66/2,150.73
  6. Step 6: Final answer
    x = 1,376.10

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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.