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Finding the Fourth Proportional to 4,143.68, 6,213.39 and 1,677.84

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Solution

The fourth proportional to 4,143.68, 6,213.39 and 1,677.84 is: 2,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.68 : 6,213.39 = 1,677.84 : x
  2. Step 2: Convert to fraction form
    4,143.68/6,213.39 = 1,677.84/x
  3. Step 3: Cross multiply
    4,143.68x = 6,213.39 × 1,677.84
  4. Step 4: Simplify right side
    4,143.68x = 10,425,074.28
  5. Step 5: Solve for x
    x = 10,425,074.28/4,143.68
  6. Step 6: Final answer
    x = 2,515.90

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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.