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Finding the Fourth Proportional to 3,164.79, 4,745.82 and 1,085.00

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Solution

The fourth proportional to 3,164.79, 4,745.82 and 1,085.00 is: 1,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.79 : 4,745.82 = 1,085.00 : x
  2. Step 2: Convert to fraction form
    3,164.79/4,745.82 = 1,085.00/x
  3. Step 3: Cross multiply
    3,164.79x = 4,745.82 × 1,085.00
  4. Step 4: Simplify right side
    3,164.79x = 5,149,197.83
  5. Step 5: Solve for x
    x = 5,149,197.83/3,164.79
  6. Step 6: Final answer
    x = 1,627.03

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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.