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Finding the Fourth Proportional to 2,906.86, 4,360.50 and 959.26

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Solution

The fourth proportional to 2,906.86, 4,360.50 and 959.26 is: 1,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.86 : 4,360.50 = 959.26 : x
  2. Step 2: Convert to fraction form
    2,906.86/4,360.50 = 959.26/x
  3. Step 3: Cross multiply
    2,906.86x = 4,360.50 × 959.26
  4. Step 4: Simplify right side
    2,906.86x = 4,182,853.23
  5. Step 5: Solve for x
    x = 4,182,853.23/2,906.86
  6. Step 6: Final answer
    x = 1,438.96

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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.