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Finding the Fourth Proportional to 2,842.57, 3,922.65 and 1,583.63

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Solution

The fourth proportional to 2,842.57, 3,922.65 and 1,583.63 is: 2,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.57 : 3,922.65 = 1,583.63 : x
  2. Step 2: Convert to fraction form
    2,842.57/3,922.65 = 1,583.63/x
  3. Step 3: Cross multiply
    2,842.57x = 3,922.65 × 1,583.63
  4. Step 4: Simplify right side
    2,842.57x = 6,212,026.22
  5. Step 5: Solve for x
    x = 6,212,026.22/2,842.57
  6. Step 6: Final answer
    x = 2,185.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.