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Finding the Fourth Proportional to 3,343, 4,616.50 and 2,818.12

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Solution

The fourth proportional to 3,343, 4,616.50 and 2,818.12 is: 3,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343 : 4,616.50 = 2,818.12 : x
  2. Step 2: Convert to fraction form
    3,343/4,616.50 = 2,818.12/x
  3. Step 3: Cross multiply
    3,343x = 4,616.50 × 2,818.12
  4. Step 4: Simplify right side
    3,343x = 13,009,850.98
  5. Step 5: Solve for x
    x = 13,009,850.98/3,343
  6. Step 6: Final answer
    x = 3,891.67

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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.