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Finding the Fourth Proportional to 2,890.92, 4,336.83 and 942.67

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Solution

The fourth proportional to 2,890.92, 4,336.83 and 942.67 is: 1,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.92 : 4,336.83 = 942.67 : x
  2. Step 2: Convert to fraction form
    2,890.92/4,336.83 = 942.67/x
  3. Step 3: Cross multiply
    2,890.92x = 4,336.83 × 942.67
  4. Step 4: Simplify right side
    2,890.92x = 4,088,199.54
  5. Step 5: Solve for x
    x = 4,088,199.54/2,890.92
  6. Step 6: Final answer
    x = 1,414.15

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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.