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Finding the Fourth Proportional to 2,879.21, 3,973.56 and 1,620.47

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Solution

The fourth proportional to 2,879.21, 3,973.56 and 1,620.47 is: 2,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.21 : 3,973.56 = 1,620.47 : x
  2. Step 2: Convert to fraction form
    2,879.21/3,973.56 = 1,620.47/x
  3. Step 3: Cross multiply
    2,879.21x = 3,973.56 × 1,620.47
  4. Step 4: Simplify right side
    2,879.21x = 6,439,038.63
  5. Step 5: Solve for x
    x = 6,439,038.63/2,879.21
  6. Step 6: Final answer
    x = 2,236.39

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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.