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Finding the Fourth Proportional to 1,843.36, 2,538 and 1,627.54

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Solution

The fourth proportional to 1,843.36, 2,538 and 1,627.54 is: 2,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.36 : 2,538 = 1,627.54 : x
  2. Step 2: Convert to fraction form
    1,843.36/2,538 = 1,627.54/x
  3. Step 3: Cross multiply
    1,843.36x = 2,538 × 1,627.54
  4. Step 4: Simplify right side
    1,843.36x = 4,130,696.52
  5. Step 5: Solve for x
    x = 4,130,696.52/1,843.36
  6. Step 6: Final answer
    x = 2,240.85

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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.