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Finding the Fourth Proportional to 1,889.06, 2,834.26 and 849.02

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Solution

The fourth proportional to 1,889.06, 2,834.26 and 849.02 is: 1,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.06 : 2,834.26 = 849.02 : x
  2. Step 2: Convert to fraction form
    1,889.06/2,834.26 = 849.02/x
  3. Step 3: Cross multiply
    1,889.06x = 2,834.26 × 849.02
  4. Step 4: Simplify right side
    1,889.06x = 2,406,327.13
  5. Step 5: Solve for x
    x = 2,406,327.13/1,889.06
  6. Step 6: Final answer
    x = 1,273.83

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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.