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Finding the Fourth Proportional to 2,109.75, 3,164.67 and 723.08

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Solution

The fourth proportional to 2,109.75, 3,164.67 and 723.08 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.75 : 3,164.67 = 723.08 : x
  2. Step 2: Convert to fraction form
    2,109.75/3,164.67 = 723.08/x
  3. Step 3: Cross multiply
    2,109.75x = 3,164.67 × 723.08
  4. Step 4: Simplify right side
    2,109.75x = 2,288,309.58
  5. Step 5: Solve for x
    x = 2,288,309.58/2,109.75
  6. Step 6: Final answer
    x = 1,084.64

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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.