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Finding the Fourth Proportional to 2,784.22, 4,176.32 and 836.42

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Solution

The fourth proportional to 2,784.22, 4,176.32 and 836.42 is: 1,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.22 : 4,176.32 = 836.42 : x
  2. Step 2: Convert to fraction form
    2,784.22/4,176.32 = 836.42/x
  3. Step 3: Cross multiply
    2,784.22x = 4,176.32 × 836.42
  4. Step 4: Simplify right side
    2,784.22x = 3,493,157.57
  5. Step 5: Solve for x
    x = 3,493,157.57/2,784.22
  6. Step 6: Final answer
    x = 1,254.63

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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.