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Finding the Fourth Proportional to 2,561.94, 3,842.91 and 830.52

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Solution

The fourth proportional to 2,561.94, 3,842.91 and 830.52 is: 1,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.94 : 3,842.91 = 830.52 : x
  2. Step 2: Convert to fraction form
    2,561.94/3,842.91 = 830.52/x
  3. Step 3: Cross multiply
    2,561.94x = 3,842.91 × 830.52
  4. Step 4: Simplify right side
    2,561.94x = 3,191,613.61
  5. Step 5: Solve for x
    x = 3,191,613.61/2,561.94
  6. Step 6: Final answer
    x = 1,245.78

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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.