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Finding the Fourth Proportional to 2,906.96, 4,360.77 and 959.18

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Solution

The fourth proportional to 2,906.96, 4,360.77 and 959.18 is: 1,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.96 : 4,360.77 = 959.18 : x
  2. Step 2: Convert to fraction form
    2,906.96/4,360.77 = 959.18/x
  3. Step 3: Cross multiply
    2,906.96x = 4,360.77 × 959.18
  4. Step 4: Simplify right side
    2,906.96x = 4,182,741.56
  5. Step 5: Solve for x
    x = 4,182,741.56/2,906.96
  6. Step 6: Final answer
    x = 1,438.87

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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.