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Finding the Fourth Proportional to 2,814.37, 3,880.22 and 1,928.63

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Solution

The fourth proportional to 2,814.37, 3,880.22 and 1,928.63 is: 2,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.37 : 3,880.22 = 1,928.63 : x
  2. Step 2: Convert to fraction form
    2,814.37/3,880.22 = 1,928.63/x
  3. Step 3: Cross multiply
    2,814.37x = 3,880.22 × 1,928.63
  4. Step 4: Simplify right side
    2,814.37x = 7,483,513.58
  5. Step 5: Solve for x
    x = 7,483,513.58/2,814.37
  6. Step 6: Final answer
    x = 2,659.04

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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.