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Finding the Fourth Proportional to 2,748.42, 3,794.88 and 2,157.96

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Solution

The fourth proportional to 2,748.42, 3,794.88 and 2,157.96 is: 2,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.42 : 3,794.88 = 2,157.96 : x
  2. Step 2: Convert to fraction form
    2,748.42/3,794.88 = 2,157.96/x
  3. Step 3: Cross multiply
    2,748.42x = 3,794.88 × 2,157.96
  4. Step 4: Simplify right side
    2,748.42x = 8,189,199.24
  5. Step 5: Solve for x
    x = 8,189,199.24/2,748.42
  6. Step 6: Final answer
    x = 2,979.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.