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Finding the Fourth Proportional to 2,260.53, 3,392.24 and 1,221.25

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Solution

The fourth proportional to 2,260.53, 3,392.24 and 1,221.25 is: 1,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.53 : 3,392.24 = 1,221.25 : x
  2. Step 2: Convert to fraction form
    2,260.53/3,392.24 = 1,221.25/x
  3. Step 3: Cross multiply
    2,260.53x = 3,392.24 × 1,221.25
  4. Step 4: Simplify right side
    2,260.53x = 4,142,777.85
  5. Step 5: Solve for x
    x = 4,142,777.85/2,260.53
  6. Step 6: Final answer
    x = 1,832.66

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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.