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Finding the Fourth Proportional to 2,271.76, 3,408.10 and 711.72

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Solution

The fourth proportional to 2,271.76, 3,408.10 and 711.72 is: 1,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.76 : 3,408.10 = 711.72 : x
  2. Step 2: Convert to fraction form
    2,271.76/3,408.10 = 711.72/x
  3. Step 3: Cross multiply
    2,271.76x = 3,408.10 × 711.72
  4. Step 4: Simplify right side
    2,271.76x = 2,425,611.15
  5. Step 5: Solve for x
    x = 2,425,611.15/2,271.76
  6. Step 6: Final answer
    x = 1,067.72

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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.