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Finding the Fourth Proportional to 2,308.55, 3,478.41 and 1,906.69

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Solution

The fourth proportional to 2,308.55, 3,478.41 and 1,906.69 is: 2,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.55 : 3,478.41 = 1,906.69 : x
  2. Step 2: Convert to fraction form
    2,308.55/3,478.41 = 1,906.69/x
  3. Step 3: Cross multiply
    2,308.55x = 3,478.41 × 1,906.69
  4. Step 4: Simplify right side
    2,308.55x = 6,632,257.49
  5. Step 5: Solve for x
    x = 6,632,257.49/2,308.55
  6. Step 6: Final answer
    x = 2,872.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.