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Finding the Fourth Proportional to 3,156.26, 4,735.60 and 1,208.60

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Solution

The fourth proportional to 3,156.26, 4,735.60 and 1,208.60 is: 1,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.26 : 4,735.60 = 1,208.60 : x
  2. Step 2: Convert to fraction form
    3,156.26/4,735.60 = 1,208.60/x
  3. Step 3: Cross multiply
    3,156.26x = 4,735.60 × 1,208.60
  4. Step 4: Simplify right side
    3,156.26x = 5,723,446.16
  5. Step 5: Solve for x
    x = 5,723,446.16/3,156.26
  6. Step 6: Final answer
    x = 1,813.36

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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.