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Finding the Fourth Proportional to 3,267.84, 4,904.56 and 1,321.44

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Solution

The fourth proportional to 3,267.84, 4,904.56 and 1,321.44 is: 1,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.84 : 4,904.56 = 1,321.44 : x
  2. Step 2: Convert to fraction form
    3,267.84/4,904.56 = 1,321.44/x
  3. Step 3: Cross multiply
    3,267.84x = 4,904.56 × 1,321.44
  4. Step 4: Simplify right side
    3,267.84x = 6,481,081.77
  5. Step 5: Solve for x
    x = 6,481,081.77/3,267.84
  6. Step 6: Final answer
    x = 1,983.29

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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.