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Finding the Fourth Proportional to 1,964.46, 2,713.34 and 1,469.28

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Solution

The fourth proportional to 1,964.46, 2,713.34 and 1,469.28 is: 2,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.46 : 2,713.34 = 1,469.28 : x
  2. Step 2: Convert to fraction form
    1,964.46/2,713.34 = 1,469.28/x
  3. Step 3: Cross multiply
    1,964.46x = 2,713.34 × 1,469.28
  4. Step 4: Simplify right side
    1,964.46x = 3,986,656.20
  5. Step 5: Solve for x
    x = 3,986,656.20/1,964.46
  6. Step 6: Final answer
    x = 2,029.39

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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.