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Finding the Fourth Proportional to 3,202.84, 4,804.89 and 1,353.94

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Solution

The fourth proportional to 3,202.84, 4,804.89 and 1,353.94 is: 2,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.84 : 4,804.89 = 1,353.94 : x
  2. Step 2: Convert to fraction form
    3,202.84/4,804.89 = 1,353.94/x
  3. Step 3: Cross multiply
    3,202.84x = 4,804.89 × 1,353.94
  4. Step 4: Simplify right side
    3,202.84x = 6,505,508.74
  5. Step 5: Solve for x
    x = 6,505,508.74/3,202.84
  6. Step 6: Final answer
    x = 2,031.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.