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Finding the Fourth Proportional to 2,194.16, 3,027.90 and 1,408.20

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Solution

The fourth proportional to 2,194.16, 3,027.90 and 1,408.20 is: 1,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.16 : 3,027.90 = 1,408.20 : x
  2. Step 2: Convert to fraction form
    2,194.16/3,027.90 = 1,408.20/x
  3. Step 3: Cross multiply
    2,194.16x = 3,027.90 × 1,408.20
  4. Step 4: Simplify right side
    2,194.16x = 4,263,888.78
  5. Step 5: Solve for x
    x = 4,263,888.78/2,194.16
  6. Step 6: Final answer
    x = 1,943.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.