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Finding the Fourth Proportional to 2,896.97, 3,993.10 and 2,266.45

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Solution

The fourth proportional to 2,896.97, 3,993.10 and 2,266.45 is: 3,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.97 : 3,993.10 = 2,266.45 : x
  2. Step 2: Convert to fraction form
    2,896.97/3,993.10 = 2,266.45/x
  3. Step 3: Cross multiply
    2,896.97x = 3,993.10 × 2,266.45
  4. Step 4: Simplify right side
    2,896.97x = 9,050,145.85
  5. Step 5: Solve for x
    x = 9,050,145.85/2,896.97
  6. Step 6: Final answer
    x = 3,124.01

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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.