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Finding the Fourth Proportional to 3,146.20, 4,719.30 and 806.20

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Solution

The fourth proportional to 3,146.20, 4,719.30 and 806.20 is: 1,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.20 : 4,719.30 = 806.20 : x
  2. Step 2: Convert to fraction form
    3,146.20/4,719.30 = 806.20/x
  3. Step 3: Cross multiply
    3,146.20x = 4,719.30 × 806.20
  4. Step 4: Simplify right side
    3,146.20x = 3,804,699.66
  5. Step 5: Solve for x
    x = 3,804,699.66/3,146.20
  6. Step 6: Final answer
    x = 1,209.30

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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.