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Finding the Fourth Proportional to 2,796.54, 3,858.91 and 1,537.45

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Solution

The fourth proportional to 2,796.54, 3,858.91 and 1,537.45 is: 2,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.54 : 3,858.91 = 1,537.45 : x
  2. Step 2: Convert to fraction form
    2,796.54/3,858.91 = 1,537.45/x
  3. Step 3: Cross multiply
    2,796.54x = 3,858.91 × 1,537.45
  4. Step 4: Simplify right side
    2,796.54x = 5,932,881.18
  5. Step 5: Solve for x
    x = 5,932,881.18/2,796.54
  6. Step 6: Final answer
    x = 2,121.51

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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.