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Finding the Fourth Proportional to 1,644.77, 2,464.83 and 821.88

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Solution

The fourth proportional to 1,644.77, 2,464.83 and 821.88 is: 1,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.77 : 2,464.83 = 821.88 : x
  2. Step 2: Convert to fraction form
    1,644.77/2,464.83 = 821.88/x
  3. Step 3: Cross multiply
    1,644.77x = 2,464.83 × 821.88
  4. Step 4: Simplify right side
    1,644.77x = 2,025,794.48
  5. Step 5: Solve for x
    x = 2,025,794.48/1,644.77
  6. Step 6: Final answer
    x = 1,231.66

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1.5x scale

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.