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Finding the Fourth Proportional to 1,909.56, 2,864.34 and 677.64

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Solution

The fourth proportional to 1,909.56, 2,864.34 and 677.64 is: 1,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.56 : 2,864.34 = 677.64 : x
  2. Step 2: Convert to fraction form
    1,909.56/2,864.34 = 677.64/x
  3. Step 3: Cross multiply
    1,909.56x = 2,864.34 × 677.64
  4. Step 4: Simplify right side
    1,909.56x = 1,940,991.36
  5. Step 5: Solve for x
    x = 1,940,991.36/1,909.56
  6. Step 6: Final answer
    x = 1,016.46

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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.