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Finding the Fourth Proportional to 3,174.53, 4,761.38 and 983.41

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Solution

The fourth proportional to 3,174.53, 4,761.38 and 983.41 is: 1,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.53 : 4,761.38 = 983.41 : x
  2. Step 2: Convert to fraction form
    3,174.53/4,761.38 = 983.41/x
  3. Step 3: Cross multiply
    3,174.53x = 4,761.38 × 983.41
  4. Step 4: Simplify right side
    3,174.53x = 4,682,379.26
  5. Step 5: Solve for x
    x = 4,682,379.26/3,174.53
  6. Step 6: Final answer
    x = 1,474.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.