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Finding the Fourth Proportional to 2,129.44, 3,190 and 1,396.80

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Solution

The fourth proportional to 2,129.44, 3,190 and 1,396.80 is: 2,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.44 : 3,190 = 1,396.80 : x
  2. Step 2: Convert to fraction form
    2,129.44/3,190 = 1,396.80/x
  3. Step 3: Cross multiply
    2,129.44x = 3,190 × 1,396.80
  4. Step 4: Simplify right side
    2,129.44x = 4,455,792
  5. Step 5: Solve for x
    x = 4,455,792/2,129.44
  6. Step 6: Final answer
    x = 2,092.47

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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.