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Finding the Fourth Proportional to 2,294.62, 3,166.58 and 1,246.68

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Solution

The fourth proportional to 2,294.62, 3,166.58 and 1,246.68 is: 1,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.62 : 3,166.58 = 1,246.68 : x
  2. Step 2: Convert to fraction form
    2,294.62/3,166.58 = 1,246.68/x
  3. Step 3: Cross multiply
    2,294.62x = 3,166.58 × 1,246.68
  4. Step 4: Simplify right side
    2,294.62x = 3,947,711.95
  5. Step 5: Solve for x
    x = 3,947,711.95/2,294.62
  6. Step 6: Final answer
    x = 1,720.42

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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.