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Finding the Fourth Proportional to 2,178.86, 3,268.65 and 792.27

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Solution

The fourth proportional to 2,178.86, 3,268.65 and 792.27 is: 1,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.86 : 3,268.65 = 792.27 : x
  2. Step 2: Convert to fraction form
    2,178.86/3,268.65 = 792.27/x
  3. Step 3: Cross multiply
    2,178.86x = 3,268.65 × 792.27
  4. Step 4: Simplify right side
    2,178.86x = 2,589,653.34
  5. Step 5: Solve for x
    x = 2,589,653.34/2,178.86
  6. Step 6: Final answer
    x = 1,188.54

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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.