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Finding the Fourth Proportional to 1,906.51, 2,859.83 and 608.95

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Solution

The fourth proportional to 1,906.51, 2,859.83 and 608.95 is: 913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.51 : 2,859.83 = 608.95 : x
  2. Step 2: Convert to fraction form
    1,906.51/2,859.83 = 608.95/x
  3. Step 3: Cross multiply
    1,906.51x = 2,859.83 × 608.95
  4. Step 4: Simplify right side
    1,906.51x = 1,741,493.48
  5. Step 5: Solve for x
    x = 1,741,493.48/1,906.51
  6. Step 6: Final answer
    x = 913.45

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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.