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Finding the Fourth Proportional to 3,093.68, 4,636.37 and 1,446.68

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Solution

The fourth proportional to 3,093.68, 4,636.37 and 1,446.68 is: 2,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.68 : 4,636.37 = 1,446.68 : x
  2. Step 2: Convert to fraction form
    3,093.68/4,636.37 = 1,446.68/x
  3. Step 3: Cross multiply
    3,093.68x = 4,636.37 × 1,446.68
  4. Step 4: Simplify right side
    3,093.68x = 6,707,358.96
  5. Step 5: Solve for x
    x = 6,707,358.96/3,093.68
  6. Step 6: Final answer
    x = 2,168.08

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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.