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Finding the Fourth Proportional to 2,491.57, 3,737.36 and 847.27

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Solution

The fourth proportional to 2,491.57, 3,737.36 and 847.27 is: 1,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.57 : 3,737.36 = 847.27 : x
  2. Step 2: Convert to fraction form
    2,491.57/3,737.36 = 847.27/x
  3. Step 3: Cross multiply
    2,491.57x = 3,737.36 × 847.27
  4. Step 4: Simplify right side
    2,491.57x = 3,166,548.77
  5. Step 5: Solve for x
    x = 3,166,548.77/2,491.57
  6. Step 6: Final answer
    x = 1,270.91

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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.