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Finding the Fourth Proportional to 2,131.77, 3,198.71 and 1,309.62

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Solution

The fourth proportional to 2,131.77, 3,198.71 and 1,309.62 is: 1,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.77 : 3,198.71 = 1,309.62 : x
  2. Step 2: Convert to fraction form
    2,131.77/3,198.71 = 1,309.62/x
  3. Step 3: Cross multiply
    2,131.77x = 3,198.71 × 1,309.62
  4. Step 4: Simplify right side
    2,131.77x = 4,189,094.59
  5. Step 5: Solve for x
    x = 4,189,094.59/2,131.77
  6. Step 6: Final answer
    x = 1,965.08

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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.