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Finding the Fourth Proportional to 1,942.75, 2,914.47 and 902.05

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Solution

The fourth proportional to 1,942.75, 2,914.47 and 902.05 is: 1,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.75 : 2,914.47 = 902.05 : x
  2. Step 2: Convert to fraction form
    1,942.75/2,914.47 = 902.05/x
  3. Step 3: Cross multiply
    1,942.75x = 2,914.47 × 902.05
  4. Step 4: Simplify right side
    1,942.75x = 2,628,997.66
  5. Step 5: Solve for x
    x = 2,628,997.66/1,942.75
  6. Step 6: Final answer
    x = 1,353.24

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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.