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Finding the Fourth Proportional to 1,889.73, 2,834.53 and 573.43

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Solution

The fourth proportional to 1,889.73, 2,834.53 and 573.43 is: 860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.73 : 2,834.53 = 573.43 : x
  2. Step 2: Convert to fraction form
    1,889.73/2,834.53 = 573.43/x
  3. Step 3: Cross multiply
    1,889.73x = 2,834.53 × 573.43
  4. Step 4: Simplify right side
    1,889.73x = 1,625,404.54
  5. Step 5: Solve for x
    x = 1,625,404.54/1,889.73
  6. Step 6: Final answer
    x = 860.13

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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.