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Finding the Fourth Proportional to 7,174.44, 10,759.74 and 1,980.60

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Solution

The fourth proportional to 7,174.44, 10,759.74 and 1,980.60 is: 2,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.44 : 10,759.74 = 1,980.60 : x
  2. Step 2: Convert to fraction form
    7,174.44/10,759.74 = 1,980.60/x
  3. Step 3: Cross multiply
    7,174.44x = 10,759.74 × 1,980.60
  4. Step 4: Simplify right side
    7,174.44x = 21,310,741.04
  5. Step 5: Solve for x
    x = 21,310,741.04/7,174.44
  6. Step 6: Final answer
    x = 2,970.37

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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.