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Finding the Fourth Proportional to 2,105.20, 2,951.60 and 2,105.20

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Solution

The fourth proportional to 2,105.20, 2,951.60 and 2,105.20 is: 2,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.20 : 2,951.60 = 2,105.20 : x
  2. Step 2: Convert to fraction form
    2,105.20/2,951.60 = 2,105.20/x
  3. Step 3: Cross multiply
    2,105.20x = 2,951.60 × 2,105.20
  4. Step 4: Simplify right side
    2,105.20x = 6,213,708.32
  5. Step 5: Solve for x
    x = 6,213,708.32/2,105.20
  6. Step 6: Final answer
    x = 2,951.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.