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Finding the Fourth Proportional to 2,093.13, 2,885.43 and 1,594.90

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Solution

The fourth proportional to 2,093.13, 2,885.43 and 1,594.90 is: 2,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.13 : 2,885.43 = 1,594.90 : x
  2. Step 2: Convert to fraction form
    2,093.13/2,885.43 = 1,594.90/x
  3. Step 3: Cross multiply
    2,093.13x = 2,885.43 × 1,594.90
  4. Step 4: Simplify right side
    2,093.13x = 4,601,972.31
  5. Step 5: Solve for x
    x = 4,601,972.31/2,093.13
  6. Step 6: Final answer
    x = 2,198.61

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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.