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Finding the Fourth Proportional to 2,194.98, 3,290.85 and 1,328.28

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Solution

The fourth proportional to 2,194.98, 3,290.85 and 1,328.28 is: 1,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.98 : 3,290.85 = 1,328.28 : x
  2. Step 2: Convert to fraction form
    2,194.98/3,290.85 = 1,328.28/x
  3. Step 3: Cross multiply
    2,194.98x = 3,290.85 × 1,328.28
  4. Step 4: Simplify right side
    2,194.98x = 4,371,170.24
  5. Step 5: Solve for x
    x = 4,371,170.24/2,194.98
  6. Step 6: Final answer
    x = 1,991.44

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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.