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Finding the Fourth Proportional to 2,305.96, 3,458.92 and 662.64

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Solution

The fourth proportional to 2,305.96, 3,458.92 and 662.64 is: 993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.96 : 3,458.92 = 662.64 : x
  2. Step 2: Convert to fraction form
    2,305.96/3,458.92 = 662.64/x
  3. Step 3: Cross multiply
    2,305.96x = 3,458.92 × 662.64
  4. Step 4: Simplify right side
    2,305.96x = 2,292,018.75
  5. Step 5: Solve for x
    x = 2,292,018.75/2,305.96
  6. Step 6: Final answer
    x = 993.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.