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Finding the Fourth Proportional to 3,183, 4,392.18 and 1,766.64

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Solution

The fourth proportional to 3,183, 4,392.18 and 1,766.64 is: 2,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 4,392.18 = 1,766.64 : x
  2. Step 2: Convert to fraction form
    3,183/4,392.18 = 1,766.64/x
  3. Step 3: Cross multiply
    3,183x = 4,392.18 × 1,766.64
  4. Step 4: Simplify right side
    3,183x = 7,759,400.88
  5. Step 5: Solve for x
    x = 7,759,400.88/3,183
  6. Step 6: Final answer
    x = 2,437.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.