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Finding the Fourth Proportional to 2,896.68, 3,993.66 and 1,846.92

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Solution

The fourth proportional to 2,896.68, 3,993.66 and 1,846.92 is: 2,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.68 : 3,993.66 = 1,846.92 : x
  2. Step 2: Convert to fraction form
    2,896.68/3,993.66 = 1,846.92/x
  3. Step 3: Cross multiply
    2,896.68x = 3,993.66 × 1,846.92
  4. Step 4: Simplify right side
    2,896.68x = 7,375,970.53
  5. Step 5: Solve for x
    x = 7,375,970.53/2,896.68
  6. Step 6: Final answer
    x = 2,546.35

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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.