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Finding the Fourth Proportional to 3,202.26, 4,804.50 and 1,447.08

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Solution

The fourth proportional to 3,202.26, 4,804.50 and 1,447.08 is: 2,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.26 : 4,804.50 = 1,447.08 : x
  2. Step 2: Convert to fraction form
    3,202.26/4,804.50 = 1,447.08/x
  3. Step 3: Cross multiply
    3,202.26x = 4,804.50 × 1,447.08
  4. Step 4: Simplify right side
    3,202.26x = 6,952,495.86
  5. Step 5: Solve for x
    x = 6,952,495.86/3,202.26
  6. Step 6: Final answer
    x = 2,171.12

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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.