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Finding the Fourth Proportional to 3,099, 4,647.43 and 1,249.63

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Solution

The fourth proportional to 3,099, 4,647.43 and 1,249.63 is: 1,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099 : 4,647.43 = 1,249.63 : x
  2. Step 2: Convert to fraction form
    3,099/4,647.43 = 1,249.63/x
  3. Step 3: Cross multiply
    3,099x = 4,647.43 × 1,249.63
  4. Step 4: Simplify right side
    3,099x = 5,807,567.95
  5. Step 5: Solve for x
    x = 5,807,567.95/3,099
  6. Step 6: Final answer
    x = 1,874.01

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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.