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Finding the Fourth Proportional to 3,221.74, 4,829.37 and 1,271.98

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Solution

The fourth proportional to 3,221.74, 4,829.37 and 1,271.98 is: 1,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.74 : 4,829.37 = 1,271.98 : x
  2. Step 2: Convert to fraction form
    3,221.74/4,829.37 = 1,271.98/x
  3. Step 3: Cross multiply
    3,221.74x = 4,829.37 × 1,271.98
  4. Step 4: Simplify right side
    3,221.74x = 6,142,862.05
  5. Step 5: Solve for x
    x = 6,142,862.05/3,221.74
  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.