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Finding the Fourth Proportional to 2,267.14, 3,400.80 and 623.82

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Solution

The fourth proportional to 2,267.14, 3,400.80 and 623.82 is: 935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.14 : 3,400.80 = 623.82 : x
  2. Step 2: Convert to fraction form
    2,267.14/3,400.80 = 623.82/x
  3. Step 3: Cross multiply
    2,267.14x = 3,400.80 × 623.82
  4. Step 4: Simplify right side
    2,267.14x = 2,121,466.93
  5. Step 5: Solve for x
    x = 2,121,466.93/2,267.14
  6. Step 6: Final answer
    x = 935.75

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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.