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Finding the Fourth Proportional to 1,840.44, 2,539.50 and 1,219.32

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Solution

The fourth proportional to 1,840.44, 2,539.50 and 1,219.32 is: 1,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.44 : 2,539.50 = 1,219.32 : x
  2. Step 2: Convert to fraction form
    1,840.44/2,539.50 = 1,219.32/x
  3. Step 3: Cross multiply
    1,840.44x = 2,539.50 × 1,219.32
  4. Step 4: Simplify right side
    1,840.44x = 3,096,463.14
  5. Step 5: Solve for x
    x = 3,096,463.14/1,840.44
  6. Step 6: Final answer
    x = 1,682.46

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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.