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Finding the Fourth Proportional to 2,195.07, 3,293.91 and 809.39

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Solution

The fourth proportional to 2,195.07, 3,293.91 and 809.39 is: 1,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.07 : 3,293.91 = 809.39 : x
  2. Step 2: Convert to fraction form
    2,195.07/3,293.91 = 809.39/x
  3. Step 3: Cross multiply
    2,195.07x = 3,293.91 × 809.39
  4. Step 4: Simplify right side
    2,195.07x = 2,666,041.35
  5. Step 5: Solve for x
    x = 2,666,041.35/2,195.07
  6. Step 6: Final answer
    x = 1,214.56

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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.