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Finding the Fourth Proportional to 2,150.96, 3,223.53 and 919.53

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Solution

The fourth proportional to 2,150.96, 3,223.53 and 919.53 is: 1,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.96 : 3,223.53 = 919.53 : x
  2. Step 2: Convert to fraction form
    2,150.96/3,223.53 = 919.53/x
  3. Step 3: Cross multiply
    2,150.96x = 3,223.53 × 919.53
  4. Step 4: Simplify right side
    2,150.96x = 2,964,132.54
  5. Step 5: Solve for x
    x = 2,964,132.54/2,150.96
  6. Step 6: Final answer
    x = 1,378.05

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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.