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Finding the Fourth Proportional to 2,842.25, 3,922.47 and 1,583.55

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Solution

The fourth proportional to 2,842.25, 3,922.47 and 1,583.55 is: 2,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.25 : 3,922.47 = 1,583.55 : x
  2. Step 2: Convert to fraction form
    2,842.25/3,922.47 = 1,583.55/x
  3. Step 3: Cross multiply
    2,842.25x = 3,922.47 × 1,583.55
  4. Step 4: Simplify right side
    2,842.25x = 6,211,427.37
  5. Step 5: Solve for x
    x = 6,211,427.37/2,842.25
  6. Step 6: Final answer
    x = 2,185.39

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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.