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Finding the Fourth Proportional to 1,939.16, 2,906.16 and 965

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Solution

The fourth proportional to 1,939.16, 2,906.16 and 965 is: 1,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.16 : 2,906.16 = 965 : x
  2. Step 2: Convert to fraction form
    1,939.16/2,906.16 = 965/x
  3. Step 3: Cross multiply
    1,939.16x = 2,906.16 × 965
  4. Step 4: Simplify right side
    1,939.16x = 2,804,444.40
  5. Step 5: Solve for x
    x = 2,804,444.40/1,939.16
  6. Step 6: Final answer
    x = 1,446.22

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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.