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Finding the Fourth Proportional to 2,539.56, 3,804.59 and 1,496.48

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Solution

The fourth proportional to 2,539.56, 3,804.59 and 1,496.48 is: 2,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.56 : 3,804.59 = 1,496.48 : x
  2. Step 2: Convert to fraction form
    2,539.56/3,804.59 = 1,496.48/x
  3. Step 3: Cross multiply
    2,539.56x = 3,804.59 × 1,496.48
  4. Step 4: Simplify right side
    2,539.56x = 5,693,466.34
  5. Step 5: Solve for x
    x = 5,693,466.34/2,539.56
  6. Step 6: Final answer
    x = 2,241.91

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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.