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Finding the Fourth Proportional to 2,906.85, 4,354.20 and 2,175.42

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Solution

The fourth proportional to 2,906.85, 4,354.20 and 2,175.42 is: 3,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.85 : 4,354.20 = 2,175.42 : x
  2. Step 2: Convert to fraction form
    2,906.85/4,354.20 = 2,175.42/x
  3. Step 3: Cross multiply
    2,906.85x = 4,354.20 × 2,175.42
  4. Step 4: Simplify right side
    2,906.85x = 9,472,213.76
  5. Step 5: Solve for x
    x = 9,472,213.76/2,906.85
  6. Step 6: Final answer
    x = 3,258.58

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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.