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Finding the Fourth Proportional to 2,092.82, 2,884.64 and 1,738.04

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Solution

The fourth proportional to 2,092.82, 2,884.64 and 1,738.04 is: 2,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.82 : 2,884.64 = 1,738.04 : x
  2. Step 2: Convert to fraction form
    2,092.82/2,884.64 = 1,738.04/x
  3. Step 3: Cross multiply
    2,092.82x = 2,884.64 × 1,738.04
  4. Step 4: Simplify right side
    2,092.82x = 5,013,596.59
  5. Step 5: Solve for x
    x = 5,013,596.59/2,092.82
  6. Step 6: Final answer
    x = 2,395.62

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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.