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Finding the Fourth Proportional to 1,879.44, 2,818.96 and 839.48

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Solution

The fourth proportional to 1,879.44, 2,818.96 and 839.48 is: 1,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.44 : 2,818.96 = 839.48 : x
  2. Step 2: Convert to fraction form
    1,879.44/2,818.96 = 839.48/x
  3. Step 3: Cross multiply
    1,879.44x = 2,818.96 × 839.48
  4. Step 4: Simplify right side
    1,879.44x = 2,366,460.54
  5. Step 5: Solve for x
    x = 2,366,460.54/1,879.44
  6. Step 6: Final answer
    x = 1,259.13

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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.