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Finding the Fourth Proportional to 2,745.96, 4,115.49 and 1,184.19

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Solution

The fourth proportional to 2,745.96, 4,115.49 and 1,184.19 is: 1,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.96 : 4,115.49 = 1,184.19 : x
  2. Step 2: Convert to fraction form
    2,745.96/4,115.49 = 1,184.19/x
  3. Step 3: Cross multiply
    2,745.96x = 4,115.49 × 1,184.19
  4. Step 4: Simplify right side
    2,745.96x = 4,873,522.10
  5. Step 5: Solve for x
    x = 4,873,522.10/2,745.96
  6. Step 6: Final answer
    x = 1,774.80

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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.