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Finding the Fourth Proportional to 3,207.16, 4,807.86 and 1,663.48

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Solution

The fourth proportional to 3,207.16, 4,807.86 and 1,663.48 is: 2,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.16 : 4,807.86 = 1,663.48 : x
  2. Step 2: Convert to fraction form
    3,207.16/4,807.86 = 1,663.48/x
  3. Step 3: Cross multiply
    3,207.16x = 4,807.86 × 1,663.48
  4. Step 4: Simplify right side
    3,207.16x = 7,997,778.95
  5. Step 5: Solve for x
    x = 7,997,778.95/3,207.16
  6. Step 6: Final answer
    x = 2,493.73

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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.