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Finding the Fourth Proportional to 2,745.85, 4,118.57 and 798.10

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Solution

The fourth proportional to 2,745.85, 4,118.57 and 798.10 is: 1,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.85 : 4,118.57 = 798.10 : x
  2. Step 2: Convert to fraction form
    2,745.85/4,118.57 = 798.10/x
  3. Step 3: Cross multiply
    2,745.85x = 4,118.57 × 798.10
  4. Step 4: Simplify right side
    2,745.85x = 3,287,044.83
  5. Step 5: Solve for x
    x = 3,287,044.83/2,745.85
  6. Step 6: Final answer
    x = 1,197.10

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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.