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Finding the Fourth Proportional to 2,271.06, 3,408.15 and 884.41

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Solution

The fourth proportional to 2,271.06, 3,408.15 and 884.41 is: 1,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.06 : 3,408.15 = 884.41 : x
  2. Step 2: Convert to fraction form
    2,271.06/3,408.15 = 884.41/x
  3. Step 3: Cross multiply
    2,271.06x = 3,408.15 × 884.41
  4. Step 4: Simplify right side
    2,271.06x = 3,014,196.74
  5. Step 5: Solve for x
    x = 3,014,196.74/2,271.06
  6. Step 6: Final answer
    x = 1,327.22

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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.