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Finding the Fourth Proportional to 3,108.18, 4,662.27 and 799.50

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Solution

The fourth proportional to 3,108.18, 4,662.27 and 799.50 is: 1,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.18 : 4,662.27 = 799.50 : x
  2. Step 2: Convert to fraction form
    3,108.18/4,662.27 = 799.50/x
  3. Step 3: Cross multiply
    3,108.18x = 4,662.27 × 799.50
  4. Step 4: Simplify right side
    3,108.18x = 3,727,484.87
  5. Step 5: Solve for x
    x = 3,727,484.87/3,108.18
  6. Step 6: Final answer
    x = 1,199.25

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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.