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Finding the Fourth Proportional to 2,255.87, 3,385.73 and 1,330.07

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Solution

The fourth proportional to 2,255.87, 3,385.73 and 1,330.07 is: 1,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.87 : 3,385.73 = 1,330.07 : x
  2. Step 2: Convert to fraction form
    2,255.87/3,385.73 = 1,330.07/x
  3. Step 3: Cross multiply
    2,255.87x = 3,385.73 × 1,330.07
  4. Step 4: Simplify right side
    2,255.87x = 4,503,257.90
  5. Step 5: Solve for x
    x = 4,503,257.90/2,255.87
  6. Step 6: Final answer
    x = 1,996.24

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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.