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Finding the Fourth Proportional to 1,842.35, 2,766.29 and 1,153.37

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Solution

The fourth proportional to 1,842.35, 2,766.29 and 1,153.37 is: 1,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.35 : 2,766.29 = 1,153.37 : x
  2. Step 2: Convert to fraction form
    1,842.35/2,766.29 = 1,153.37/x
  3. Step 3: Cross multiply
    1,842.35x = 2,766.29 × 1,153.37
  4. Step 4: Simplify right side
    1,842.35x = 3,190,557.05
  5. Step 5: Solve for x
    x = 3,190,557.05/1,842.35
  6. Step 6: Final answer
    x = 1,731.79

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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.