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Finding the Fourth Proportional to 2,737.44, 4,096.42 and 2,005.20

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Solution

The fourth proportional to 2,737.44, 4,096.42 and 2,005.20 is: 3,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.44 : 4,096.42 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    2,737.44/4,096.42 = 2,005.20/x
  3. Step 3: Cross multiply
    2,737.44x = 4,096.42 × 2,005.20
  4. Step 4: Simplify right side
    2,737.44x = 8,214,141.38
  5. Step 5: Solve for x
    x = 8,214,141.38/2,737.44
  6. Step 6: Final answer
    x = 3,000.67

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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.