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Finding the Fourth Proportional to 3,193.94, 4,783.62 and 2,023.90

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Solution

The fourth proportional to 3,193.94, 4,783.62 and 2,023.90 is: 3,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.94 : 4,783.62 = 2,023.90 : x
  2. Step 2: Convert to fraction form
    3,193.94/4,783.62 = 2,023.90/x
  3. Step 3: Cross multiply
    3,193.94x = 4,783.62 × 2,023.90
  4. Step 4: Simplify right side
    3,193.94x = 9,681,568.52
  5. Step 5: Solve for x
    x = 9,681,568.52/3,193.94
  6. Step 6: Final answer
    x = 3,031.23

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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.