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Finding the Fourth Proportional to 1,396.14, 2,093.85 and 846.42

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Solution

The fourth proportional to 1,396.14, 2,093.85 and 846.42 is: 1,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.14 : 2,093.85 = 846.42 : x
  2. Step 2: Convert to fraction form
    1,396.14/2,093.85 = 846.42/x
  3. Step 3: Cross multiply
    1,396.14x = 2,093.85 × 846.42
  4. Step 4: Simplify right side
    1,396.14x = 1,772,276.52
  5. Step 5: Solve for x
    x = 1,772,276.52/1,396.14
  6. Step 6: Final answer
    x = 1,269.41

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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.