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Finding the Fourth Proportional to 2,109.86, 3,164.80 and 723.24

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Solution

The fourth proportional to 2,109.86, 3,164.80 and 723.24 is: 1,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.86 : 3,164.80 = 723.24 : x
  2. Step 2: Convert to fraction form
    2,109.86/3,164.80 = 723.24/x
  3. Step 3: Cross multiply
    2,109.86x = 3,164.80 × 723.24
  4. Step 4: Simplify right side
    2,109.86x = 2,288,909.95
  5. Step 5: Solve for x
    x = 2,288,909.95/2,109.86
  6. Step 6: Final answer
    x = 1,084.86

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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.