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Finding the Fourth Proportional to 1,644.77, 2,467.13 and 986.83

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Solution

The fourth proportional to 1,644.77, 2,467.13 and 986.83 is: 1,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.77 : 2,467.13 = 986.83 : x
  2. Step 2: Convert to fraction form
    1,644.77/2,467.13 = 986.83/x
  3. Step 3: Cross multiply
    1,644.77x = 2,467.13 × 986.83
  4. Step 4: Simplify right side
    1,644.77x = 2,434,626.80
  5. Step 5: Solve for x
    x = 2,434,626.80/1,644.77
  6. Step 6: Final answer
    x = 1,480.22

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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.