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Finding the Fourth Proportional to 3,218.68, 4,829.10 and 1,270.84

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Solution

The fourth proportional to 3,218.68, 4,829.10 and 1,270.84 is: 1,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.68 : 4,829.10 = 1,270.84 : x
  2. Step 2: Convert to fraction form
    3,218.68/4,829.10 = 1,270.84/x
  3. Step 3: Cross multiply
    3,218.68x = 4,829.10 × 1,270.84
  4. Step 4: Simplify right side
    3,218.68x = 6,137,013.44
  5. Step 5: Solve for x
    x = 6,137,013.44/3,218.68
  6. Step 6: Final answer
    x = 1,906.69

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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.