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Finding the Fourth Proportional to 2,206.92, 3,046.97 and 1,368.52

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Solution

The fourth proportional to 2,206.92, 3,046.97 and 1,368.52 is: 1,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.92 : 3,046.97 = 1,368.52 : x
  2. Step 2: Convert to fraction form
    2,206.92/3,046.97 = 1,368.52/x
  3. Step 3: Cross multiply
    2,206.92x = 3,046.97 × 1,368.52
  4. Step 4: Simplify right side
    2,206.92x = 4,169,835.19
  5. Step 5: Solve for x
    x = 4,169,835.19/2,206.92
  6. Step 6: Final answer
    x = 1,889.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.