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Finding the Fourth Proportional to 2,895.12, 3,992.03 and 2,096.87

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Solution

The fourth proportional to 2,895.12, 3,992.03 and 2,096.87 is: 2,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.12 : 3,992.03 = 2,096.87 : x
  2. Step 2: Convert to fraction form
    2,895.12/3,992.03 = 2,096.87/x
  3. Step 3: Cross multiply
    2,895.12x = 3,992.03 × 2,096.87
  4. Step 4: Simplify right side
    2,895.12x = 8,370,747.99
  5. Step 5: Solve for x
    x = 8,370,747.99/2,895.12
  6. Step 6: Final answer
    x = 2,891.33

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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.