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Finding the Fourth Proportional to 2,745.47, 4,114.13 and 1,442.99

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Solution

The fourth proportional to 2,745.47, 4,114.13 and 1,442.99 is: 2,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.47 : 4,114.13 = 1,442.99 : x
  2. Step 2: Convert to fraction form
    2,745.47/4,114.13 = 1,442.99/x
  3. Step 3: Cross multiply
    2,745.47x = 4,114.13 × 1,442.99
  4. Step 4: Simplify right side
    2,745.47x = 5,936,620.66
  5. Step 5: Solve for x
    x = 5,936,620.66/2,745.47
  6. Step 6: Final answer
    x = 2,162.34

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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.