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Finding the Fourth Proportional to 2,861.60, 3,951.60 and 1,814

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Solution

The fourth proportional to 2,861.60, 3,951.60 and 1,814 is: 2,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.60 : 3,951.60 = 1,814 : x
  2. Step 2: Convert to fraction form
    2,861.60/3,951.60 = 1,814/x
  3. Step 3: Cross multiply
    2,861.60x = 3,951.60 × 1,814
  4. Step 4: Simplify right side
    2,861.60x = 7,168,202.40
  5. Step 5: Solve for x
    x = 7,168,202.40/2,861.60
  6. Step 6: Final answer
    x = 2,504.96

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Why These Related Problems?

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