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Finding the Fourth Proportional to 3,024.82, 4,539.16 and 1,293.44

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Solution

The fourth proportional to 3,024.82, 4,539.16 and 1,293.44 is: 1,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.82 : 4,539.16 = 1,293.44 : x
  2. Step 2: Convert to fraction form
    3,024.82/4,539.16 = 1,293.44/x
  3. Step 3: Cross multiply
    3,024.82x = 4,539.16 × 1,293.44
  4. Step 4: Simplify right side
    3,024.82x = 5,871,131.11
  5. Step 5: Solve for x
    x = 5,871,131.11/3,024.82
  6. Step 6: Final answer
    x = 1,940.99

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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.