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Finding the Fourth Proportional to 2,346.16, 3,517.68 and 806.80

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Solution

The fourth proportional to 2,346.16, 3,517.68 and 806.80 is: 1,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.16 : 3,517.68 = 806.80 : x
  2. Step 2: Convert to fraction form
    2,346.16/3,517.68 = 806.80/x
  3. Step 3: Cross multiply
    2,346.16x = 3,517.68 × 806.80
  4. Step 4: Simplify right side
    2,346.16x = 2,838,064.22
  5. Step 5: Solve for x
    x = 2,838,064.22/2,346.16
  6. Step 6: Final answer
    x = 1,209.66

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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.