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Finding the Fourth Proportional to 2,271.96, 3,408.98 and 2,054.61

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Solution

The fourth proportional to 2,271.96, 3,408.98 and 2,054.61 is: 3,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.96 : 3,408.98 = 2,054.61 : x
  2. Step 2: Convert to fraction form
    2,271.96/3,408.98 = 2,054.61/x
  3. Step 3: Cross multiply
    2,271.96x = 3,408.98 × 2,054.61
  4. Step 4: Simplify right side
    2,271.96x = 7,004,114.12
  5. Step 5: Solve for x
    x = 7,004,114.12/2,271.96
  6. Step 6: Final answer
    x = 3,082.85

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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.