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Finding the Fourth Proportional to 3,269.33, 4,903.90 and 1,321.46

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Solution

The fourth proportional to 3,269.33, 4,903.90 and 1,321.46 is: 1,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.33 : 4,903.90 = 1,321.46 : x
  2. Step 2: Convert to fraction form
    3,269.33/4,903.90 = 1,321.46/x
  3. Step 3: Cross multiply
    3,269.33x = 4,903.90 × 1,321.46
  4. Step 4: Simplify right side
    3,269.33x = 6,480,307.69
  5. Step 5: Solve for x
    x = 6,480,307.69/3,269.33
  6. Step 6: Final answer
    x = 1,982.15

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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.