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Finding the Fourth Proportional to 2,155.22, 2,974.22 and 1,408.73

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Solution

The fourth proportional to 2,155.22, 2,974.22 and 1,408.73 is: 1,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.22 : 2,974.22 = 1,408.73 : x
  2. Step 2: Convert to fraction form
    2,155.22/2,974.22 = 1,408.73/x
  3. Step 3: Cross multiply
    2,155.22x = 2,974.22 × 1,408.73
  4. Step 4: Simplify right side
    2,155.22x = 4,189,851.03
  5. Step 5: Solve for x
    x = 4,189,851.03/2,155.22
  6. Step 6: Final answer
    x = 1,944.05

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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.