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Finding the Fourth Proportional to 3,201.27, 4,804.90 and 1,971.08

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Solution

The fourth proportional to 3,201.27, 4,804.90 and 1,971.08 is: 2,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.27 : 4,804.90 = 1,971.08 : x
  2. Step 2: Convert to fraction form
    3,201.27/4,804.90 = 1,971.08/x
  3. Step 3: Cross multiply
    3,201.27x = 4,804.90 × 1,971.08
  4. Step 4: Simplify right side
    3,201.27x = 9,470,869.47
  5. Step 5: Solve for x
    x = 9,470,869.47/3,201.27
  6. Step 6: Final answer
    x = 2,958.47

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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.