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Finding the Fourth Proportional to 3,090.87, 4,634.10 and 1,446.57

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Solution

The fourth proportional to 3,090.87, 4,634.10 and 1,446.57 is: 2,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.87 : 4,634.10 = 1,446.57 : x
  2. Step 2: Convert to fraction form
    3,090.87/4,634.10 = 1,446.57/x
  3. Step 3: Cross multiply
    3,090.87x = 4,634.10 × 1,446.57
  4. Step 4: Simplify right side
    3,090.87x = 6,703,550.04
  5. Step 5: Solve for x
    x = 6,703,550.04/3,090.87
  6. Step 6: Final answer
    x = 2,168.82

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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.