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Finding the Fourth Proportional to 1,906.90, 2,860.66 and 608.26

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Solution

The fourth proportional to 1,906.90, 2,860.66 and 608.26 is: 912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.90 : 2,860.66 = 608.26 : x
  2. Step 2: Convert to fraction form
    1,906.90/2,860.66 = 608.26/x
  3. Step 3: Cross multiply
    1,906.90x = 2,860.66 × 608.26
  4. Step 4: Simplify right side
    1,906.90x = 1,740,025.05
  5. Step 5: Solve for x
    x = 1,740,025.05/1,906.90
  6. Step 6: Final answer
    x = 912.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.