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Finding the Fourth Proportional to 2,561.85, 3,842.66 and 712.82

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Solution

The fourth proportional to 2,561.85, 3,842.66 and 712.82 is: 1,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.85 : 3,842.66 = 712.82 : x
  2. Step 2: Convert to fraction form
    2,561.85/3,842.66 = 712.82/x
  3. Step 3: Cross multiply
    2,561.85x = 3,842.66 × 712.82
  4. Step 4: Simplify right side
    2,561.85x = 2,739,102.12
  5. Step 5: Solve for x
    x = 2,739,102.12/2,561.85
  6. Step 6: Final answer
    x = 1,069.19

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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.