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Finding the Fourth Proportional to 2,798.44, 3,866.04 and 1,843.63

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Solution

The fourth proportional to 2,798.44, 3,866.04 and 1,843.63 is: 2,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.44 : 3,866.04 = 1,843.63 : x
  2. Step 2: Convert to fraction form
    2,798.44/3,866.04 = 1,843.63/x
  3. Step 3: Cross multiply
    2,798.44x = 3,866.04 × 1,843.63
  4. Step 4: Simplify right side
    2,798.44x = 7,127,537.66
  5. Step 5: Solve for x
    x = 7,127,537.66/2,798.44
  6. Step 6: Final answer
    x = 2,546.97

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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.