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Finding the Fourth Proportional to 2,097.66, 2,896.13 and 1,301.83

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Solution

The fourth proportional to 2,097.66, 2,896.13 and 1,301.83 is: 1,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.66 : 2,896.13 = 1,301.83 : x
  2. Step 2: Convert to fraction form
    2,097.66/2,896.13 = 1,301.83/x
  3. Step 3: Cross multiply
    2,097.66x = 2,896.13 × 1,301.83
  4. Step 4: Simplify right side
    2,097.66x = 3,770,268.92
  5. Step 5: Solve for x
    x = 3,770,268.92/2,097.66
  6. Step 6: Final answer
    x = 1,797.37

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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.