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Finding the Fourth Proportional to 3,143.30, 4,717.71 and 1,643.31

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Solution

The fourth proportional to 3,143.30, 4,717.71 and 1,643.31 is: 2,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.30 : 4,717.71 = 1,643.31 : x
  2. Step 2: Convert to fraction form
    3,143.30/4,717.71 = 1,643.31/x
  3. Step 3: Cross multiply
    3,143.30x = 4,717.71 × 1,643.31
  4. Step 4: Simplify right side
    3,143.30x = 7,752,660.02
  5. Step 5: Solve for x
    x = 7,752,660.02/3,143.30
  6. Step 6: Final answer
    x = 2,466.41

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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.