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Finding the Fourth Proportional to 1,995.64, 2,998.50 and 1,265.56

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Solution

The fourth proportional to 1,995.64, 2,998.50 and 1,265.56 is: 1,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.64 : 2,998.50 = 1,265.56 : x
  2. Step 2: Convert to fraction form
    1,995.64/2,998.50 = 1,265.56/x
  3. Step 3: Cross multiply
    1,995.64x = 2,998.50 × 1,265.56
  4. Step 4: Simplify right side
    1,995.64x = 3,794,781.66
  5. Step 5: Solve for x
    x = 3,794,781.66/1,995.64
  6. Step 6: Final answer
    x = 1,901.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.