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Finding the Fourth Proportional to 3,270.74, 4,903.34 and 1,324.30

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Solution

The fourth proportional to 3,270.74, 4,903.34 and 1,324.30 is: 1,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.74 : 4,903.34 = 1,324.30 : x
  2. Step 2: Convert to fraction form
    3,270.74/4,903.34 = 1,324.30/x
  3. Step 3: Cross multiply
    3,270.74x = 4,903.34 × 1,324.30
  4. Step 4: Simplify right side
    3,270.74x = 6,493,493.16
  5. Step 5: Solve for x
    x = 6,493,493.16/3,270.74
  6. Step 6: Final answer
    x = 1,985.33

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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.