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Finding the Fourth Proportional to 2,796.93, 4,195.98 and 949.35

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Solution

The fourth proportional to 2,796.93, 4,195.98 and 949.35 is: 1,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.93 : 4,195.98 = 949.35 : x
  2. Step 2: Convert to fraction form
    2,796.93/4,195.98 = 949.35/x
  3. Step 3: Cross multiply
    2,796.93x = 4,195.98 × 949.35
  4. Step 4: Simplify right side
    2,796.93x = 3,983,453.61
  5. Step 5: Solve for x
    x = 3,983,453.61/2,796.93
  6. Step 6: Final answer
    x = 1,424.22

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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.