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Finding the Fourth Proportional to 2,054.42, 3,083.20 and 805.22

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Solution

The fourth proportional to 2,054.42, 3,083.20 and 805.22 is: 1,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.42 : 3,083.20 = 805.22 : x
  2. Step 2: Convert to fraction form
    2,054.42/3,083.20 = 805.22/x
  3. Step 3: Cross multiply
    2,054.42x = 3,083.20 × 805.22
  4. Step 4: Simplify right side
    2,054.42x = 2,482,654.30
  5. Step 5: Solve for x
    x = 2,482,654.30/2,054.42
  6. Step 6: Final answer
    x = 1,208.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.