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Finding the Fourth Proportional to 2,798.70, 4,194.26 and 2,272.80

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Solution

The fourth proportional to 2,798.70, 4,194.26 and 2,272.80 is: 3,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.70 : 4,194.26 = 2,272.80 : x
  2. Step 2: Convert to fraction form
    2,798.70/4,194.26 = 2,272.80/x
  3. Step 3: Cross multiply
    2,798.70x = 4,194.26 × 2,272.80
  4. Step 4: Simplify right side
    2,798.70x = 9,532,714.13
  5. Step 5: Solve for x
    x = 9,532,714.13/2,798.70
  6. Step 6: Final answer
    x = 3,406.12

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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.