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Finding the Fourth Proportional to 2,093.96, 3,142.02 and 1,119.98

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Solution

The fourth proportional to 2,093.96, 3,142.02 and 1,119.98 is: 1,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.96 : 3,142.02 = 1,119.98 : x
  2. Step 2: Convert to fraction form
    2,093.96/3,142.02 = 1,119.98/x
  3. Step 3: Cross multiply
    2,093.96x = 3,142.02 × 1,119.98
  4. Step 4: Simplify right side
    2,093.96x = 3,518,999.56
  5. Step 5: Solve for x
    x = 3,518,999.56/2,093.96
  6. Step 6: Final answer
    x = 1,680.55

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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.