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Finding the Fourth Proportional to 3,157.26, 4,737.10 and 1,209.60

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Solution

The fourth proportional to 3,157.26, 4,737.10 and 1,209.60 is: 1,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.26 : 4,737.10 = 1,209.60 : x
  2. Step 2: Convert to fraction form
    3,157.26/4,737.10 = 1,209.60/x
  3. Step 3: Cross multiply
    3,157.26x = 4,737.10 × 1,209.60
  4. Step 4: Simplify right side
    3,157.26x = 5,729,996.16
  5. Step 5: Solve for x
    x = 5,729,996.16/3,157.26
  6. Step 6: Final answer
    x = 1,814.86

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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.