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Finding the Fourth Proportional to 2,089.97, 2,884.46 and 1,193.70

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Solution

The fourth proportional to 2,089.97, 2,884.46 and 1,193.70 is: 1,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.97 : 2,884.46 = 1,193.70 : x
  2. Step 2: Convert to fraction form
    2,089.97/2,884.46 = 1,193.70/x
  3. Step 3: Cross multiply
    2,089.97x = 2,884.46 × 1,193.70
  4. Step 4: Simplify right side
    2,089.97x = 3,443,173.93
  5. Step 5: Solve for x
    x = 3,443,173.93/2,089.97
  6. Step 6: Final answer
    x = 1,647.48

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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.