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Finding the Fourth Proportional to 2,294.60, 3,166.90 and 1,299.98

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Solution

The fourth proportional to 2,294.60, 3,166.90 and 1,299.98 is: 1,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.60 : 3,166.90 = 1,299.98 : x
  2. Step 2: Convert to fraction form
    2,294.60/3,166.90 = 1,299.98/x
  3. Step 3: Cross multiply
    2,294.60x = 3,166.90 × 1,299.98
  4. Step 4: Simplify right side
    2,294.60x = 4,116,906.66
  5. Step 5: Solve for x
    x = 4,116,906.66/2,294.60
  6. Step 6: Final answer
    x = 1,794.17

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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.