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Finding the Fourth Proportional to 2,308.37, 3,478.13 and 1,906.50

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Solution

The fourth proportional to 2,308.37, 3,478.13 and 1,906.50 is: 2,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.37 : 3,478.13 = 1,906.50 : x
  2. Step 2: Convert to fraction form
    2,308.37/3,478.13 = 1,906.50/x
  3. Step 3: Cross multiply
    2,308.37x = 3,478.13 × 1,906.50
  4. Step 4: Simplify right side
    2,308.37x = 6,631,065.50
  5. Step 5: Solve for x
    x = 6,631,065.50/2,308.37
  6. Step 6: Final answer
    x = 2,872.62

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Why These Related Problems?

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