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Finding the Fourth Proportional to 1,896.68, 2,843.83 and 580.00

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Solution

The fourth proportional to 1,896.68, 2,843.83 and 580.00 is: 869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.68 : 2,843.83 = 580.00 : x
  2. Step 2: Convert to fraction form
    1,896.68/2,843.83 = 580.00/x
  3. Step 3: Cross multiply
    1,896.68x = 2,843.83 × 580.00
  4. Step 4: Simplify right side
    1,896.68x = 1,649,407.18
  5. Step 5: Solve for x
    x = 1,649,407.18/1,896.68
  6. Step 6: Final answer
    x = 869.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.