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Finding the Fourth Proportional to 1,940.64, 2,660.65 and 1,905.60

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Solution

The fourth proportional to 1,940.64, 2,660.65 and 1,905.60 is: 2,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.64 : 2,660.65 = 1,905.60 : x
  2. Step 2: Convert to fraction form
    1,940.64/2,660.65 = 1,905.60/x
  3. Step 3: Cross multiply
    1,940.64x = 2,660.65 × 1,905.60
  4. Step 4: Simplify right side
    1,940.64x = 5,070,129.88
  5. Step 5: Solve for x
    x = 5,070,129.88/1,940.64
  6. Step 6: Final answer
    x = 2,612.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.