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Finding the Fourth Proportional to 2,267.15, 3,400.77 and 623.69

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Solution

The fourth proportional to 2,267.15, 3,400.77 and 623.69 is: 935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.15 : 3,400.77 = 623.69 : x
  2. Step 2: Convert to fraction form
    2,267.15/3,400.77 = 623.69/x
  3. Step 3: Cross multiply
    2,267.15x = 3,400.77 × 623.69
  4. Step 4: Simplify right side
    2,267.15x = 2,121,006.12
  5. Step 5: Solve for x
    x = 2,121,006.12/2,267.15
  6. Step 6: Final answer
    x = 935.54

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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.