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Finding the Fourth Proportional to 3,065.96, 4,229.34 and 1,946.14

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Solution

The fourth proportional to 3,065.96, 4,229.34 and 1,946.14 is: 2,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.96 : 4,229.34 = 1,946.14 : x
  2. Step 2: Convert to fraction form
    3,065.96/4,229.34 = 1,946.14/x
  3. Step 3: Cross multiply
    3,065.96x = 4,229.34 × 1,946.14
  4. Step 4: Simplify right side
    3,065.96x = 8,230,887.75
  5. Step 5: Solve for x
    x = 8,230,887.75/3,065.96
  6. Step 6: Final answer
    x = 2,684.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.