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Finding the Fourth Proportional to 3,267.81, 4,902.32 and 1,321.38

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Solution

The fourth proportional to 3,267.81, 4,902.32 and 1,321.38 is: 1,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.81 : 4,902.32 = 1,321.38 : x
  2. Step 2: Convert to fraction form
    3,267.81/4,902.32 = 1,321.38/x
  3. Step 3: Cross multiply
    3,267.81x = 4,902.32 × 1,321.38
  4. Step 4: Simplify right side
    3,267.81x = 6,477,830.91
  5. Step 5: Solve for x
    x = 6,477,830.91/3,267.81
  6. Step 6: Final answer
    x = 1,982.32

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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.