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Finding the Fourth Proportional to 2,798.22, 4,196.97 and 949.26

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Solution

The fourth proportional to 2,798.22, 4,196.97 and 949.26 is: 1,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.22 : 4,196.97 = 949.26 : x
  2. Step 2: Convert to fraction form
    2,798.22/4,196.97 = 949.26/x
  3. Step 3: Cross multiply
    2,798.22x = 4,196.97 × 949.26
  4. Step 4: Simplify right side
    2,798.22x = 3,984,015.74
  5. Step 5: Solve for x
    x = 3,984,015.74/2,798.22
  6. Step 6: Final answer
    x = 1,423.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.