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Finding the Fourth Proportional to 2,093.87, 2,890.14 and 1,385.83

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Solution

The fourth proportional to 2,093.87, 2,890.14 and 1,385.83 is: 1,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.87 : 2,890.14 = 1,385.83 : x
  2. Step 2: Convert to fraction form
    2,093.87/2,890.14 = 1,385.83/x
  3. Step 3: Cross multiply
    2,093.87x = 2,890.14 × 1,385.83
  4. Step 4: Simplify right side
    2,093.87x = 4,005,242.72
  5. Step 5: Solve for x
    x = 4,005,242.72/2,093.87
  6. Step 6: Final answer
    x = 1,912.84

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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.