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Finding the Fourth Proportional to 3,146.29, 4,719.41 and 806.29

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Solution

The fourth proportional to 3,146.29, 4,719.41 and 806.29 is: 1,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.29 : 4,719.41 = 806.29 : x
  2. Step 2: Convert to fraction form
    3,146.29/4,719.41 = 806.29/x
  3. Step 3: Cross multiply
    3,146.29x = 4,719.41 × 806.29
  4. Step 4: Simplify right side
    3,146.29x = 3,805,203.31
  5. Step 5: Solve for x
    x = 3,805,203.31/3,146.29
  6. Step 6: Final answer
    x = 1,209.43

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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.