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Finding the Fourth Proportional to 2,267.56, 3,400.96 and 623.82

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Solution

The fourth proportional to 2,267.56, 3,400.96 and 623.82 is: 935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.56 : 3,400.96 = 623.82 : x
  2. Step 2: Convert to fraction form
    2,267.56/3,400.96 = 623.82/x
  3. Step 3: Cross multiply
    2,267.56x = 3,400.96 × 623.82
  4. Step 4: Simplify right side
    2,267.56x = 2,121,586.87
  5. Step 5: Solve for x
    x = 2,121,586.87/2,267.56
  6. Step 6: Final answer
    x = 935.63

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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.