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Finding the Fourth Proportional to 2,266.92, 3,390.66 and 1,946.16

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Solution

The fourth proportional to 2,266.92, 3,390.66 and 1,946.16 is: 2,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.92 : 3,390.66 = 1,946.16 : x
  2. Step 2: Convert to fraction form
    2,266.92/3,390.66 = 1,946.16/x
  3. Step 3: Cross multiply
    2,266.92x = 3,390.66 × 1,946.16
  4. Step 4: Simplify right side
    2,266.92x = 6,598,766.87
  5. Step 5: Solve for x
    x = 6,598,766.87/2,266.92
  6. Step 6: Final answer
    x = 2,910.90

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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.