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Finding the Fourth Proportional to 1,840.06, 2,753.61 and 1,282.06

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Solution

The fourth proportional to 1,840.06, 2,753.61 and 1,282.06 is: 1,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.06 : 2,753.61 = 1,282.06 : x
  2. Step 2: Convert to fraction form
    1,840.06/2,753.61 = 1,282.06/x
  3. Step 3: Cross multiply
    1,840.06x = 2,753.61 × 1,282.06
  4. Step 4: Simplify right side
    1,840.06x = 3,530,293.24
  5. Step 5: Solve for x
    x = 3,530,293.24/1,840.06
  6. Step 6: Final answer
    x = 1,918.58

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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.