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Finding the Fourth Proportional to 2,906.70, 4,359.57 and 1,346.64

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Solution

The fourth proportional to 2,906.70, 4,359.57 and 1,346.64 is: 2,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.70 : 4,359.57 = 1,346.64 : x
  2. Step 2: Convert to fraction form
    2,906.70/4,359.57 = 1,346.64/x
  3. Step 3: Cross multiply
    2,906.70x = 4,359.57 × 1,346.64
  4. Step 4: Simplify right side
    2,906.70x = 5,870,771.34
  5. Step 5: Solve for x
    x = 5,870,771.34/2,906.70
  6. Step 6: Final answer
    x = 2,019.74

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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.