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Finding the Fourth Proportional to 1,906.90, 2,861.88 and 1,846.16

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Solution

The fourth proportional to 1,906.90, 2,861.88 and 1,846.16 is: 2,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.90 : 2,861.88 = 1,846.16 : x
  2. Step 2: Convert to fraction form
    1,906.90/2,861.88 = 1,846.16/x
  3. Step 3: Cross multiply
    1,906.90x = 2,861.88 × 1,846.16
  4. Step 4: Simplify right side
    1,906.90x = 5,283,488.38
  5. Step 5: Solve for x
    x = 5,283,488.38/1,906.90
  6. Step 6: Final answer
    x = 2,770.72

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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.