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Finding the Fourth Proportional to 2,855.82, 3,941.10 and 1,596.84

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Solution

The fourth proportional to 2,855.82, 3,941.10 and 1,596.84 is: 2,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.82 : 3,941.10 = 1,596.84 : x
  2. Step 2: Convert to fraction form
    2,855.82/3,941.10 = 1,596.84/x
  3. Step 3: Cross multiply
    2,855.82x = 3,941.10 × 1,596.84
  4. Step 4: Simplify right side
    2,855.82x = 6,293,306.12
  5. Step 5: Solve for x
    x = 6,293,306.12/2,855.82
  6. Step 6: Final answer
    x = 2,203.68

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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.