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Finding the Fourth Proportional to 2,271.84, 3,408.20 and 885.12

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Solution

The fourth proportional to 2,271.84, 3,408.20 and 885.12 is: 1,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.84 : 3,408.20 = 885.12 : x
  2. Step 2: Convert to fraction form
    2,271.84/3,408.20 = 885.12/x
  3. Step 3: Cross multiply
    2,271.84x = 3,408.20 × 885.12
  4. Step 4: Simplify right side
    2,271.84x = 3,016,665.98
  5. Step 5: Solve for x
    x = 3,016,665.98/2,271.84
  6. Step 6: Final answer
    x = 1,327.85

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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.