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Finding the Fourth Proportional to 2,294.89, 3,166.74 and 1,286.58

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Solution

The fourth proportional to 2,294.89, 3,166.74 and 1,286.58 is: 1,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.89 : 3,166.74 = 1,286.58 : x
  2. Step 2: Convert to fraction form
    2,294.89/3,166.74 = 1,286.58/x
  3. Step 3: Cross multiply
    2,294.89x = 3,166.74 × 1,286.58
  4. Step 4: Simplify right side
    2,294.89x = 4,074,264.35
  5. Step 5: Solve for x
    x = 4,074,264.35/2,294.89
  6. Step 6: Final answer
    x = 1,775.36

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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.