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Finding the Fourth Proportional to 2,105.86, 3,159.10 and 644.80

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Solution

The fourth proportional to 2,105.86, 3,159.10 and 644.80 is: 967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.86 : 3,159.10 = 644.80 : x
  2. Step 2: Convert to fraction form
    2,105.86/3,159.10 = 644.80/x
  3. Step 3: Cross multiply
    2,105.86x = 3,159.10 × 644.80
  4. Step 4: Simplify right side
    2,105.86x = 2,036,987.68
  5. Step 5: Solve for x
    x = 2,036,987.68/2,105.86
  6. Step 6: Final answer
    x = 967.29

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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.