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Finding the Fourth Proportional to 2,143.63, 3,213.19 and 1,046.49

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Solution

The fourth proportional to 2,143.63, 3,213.19 and 1,046.49 is: 1,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.63 : 3,213.19 = 1,046.49 : x
  2. Step 2: Convert to fraction form
    2,143.63/3,213.19 = 1,046.49/x
  3. Step 3: Cross multiply
    2,143.63x = 3,213.19 × 1,046.49
  4. Step 4: Simplify right side
    2,143.63x = 3,362,571.20
  5. Step 5: Solve for x
    x = 3,362,571.20/2,143.63
  6. Step 6: Final answer
    x = 1,568.63

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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.