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Finding the Fourth Proportional to 3,204.09, 4,804.92 and 1,471.50

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Solution

The fourth proportional to 3,204.09, 4,804.92 and 1,471.50 is: 2,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.09 : 4,804.92 = 1,471.50 : x
  2. Step 2: Convert to fraction form
    3,204.09/4,804.92 = 1,471.50/x
  3. Step 3: Cross multiply
    3,204.09x = 4,804.92 × 1,471.50
  4. Step 4: Simplify right side
    3,204.09x = 7,070,439.78
  5. Step 5: Solve for x
    x = 7,070,439.78/3,204.09
  6. Step 6: Final answer
    x = 2,206.69

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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.