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Finding the Fourth Proportional to 2,814.67, 3,880.60 and 1,928.89

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Solution

The fourth proportional to 2,814.67, 3,880.60 and 1,928.89 is: 2,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.67 : 3,880.60 = 1,928.89 : x
  2. Step 2: Convert to fraction form
    2,814.67/3,880.60 = 1,928.89/x
  3. Step 3: Cross multiply
    2,814.67x = 3,880.60 × 1,928.89
  4. Step 4: Simplify right side
    2,814.67x = 7,485,250.53
  5. Step 5: Solve for x
    x = 7,485,250.53/2,814.67
  6. Step 6: Final answer
    x = 2,659.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.