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Finding the Fourth Proportional to 2,305.99, 3,458.52 and 662.15

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Solution

The fourth proportional to 2,305.99, 3,458.52 and 662.15 is: 993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.99 : 3,458.52 = 662.15 : x
  2. Step 2: Convert to fraction form
    2,305.99/3,458.52 = 662.15/x
  3. Step 3: Cross multiply
    2,305.99x = 3,458.52 × 662.15
  4. Step 4: Simplify right side
    2,305.99x = 2,290,054.69
  5. Step 5: Solve for x
    x = 2,290,054.69/2,305.99
  6. Step 6: Final answer
    x = 993.09

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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.