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Finding the Fourth Proportional to 2,610.44, 3,914.72 and 1,223.54

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Solution

The fourth proportional to 2,610.44, 3,914.72 and 1,223.54 is: 1,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.44 : 3,914.72 = 1,223.54 : x
  2. Step 2: Convert to fraction form
    2,610.44/3,914.72 = 1,223.54/x
  3. Step 3: Cross multiply
    2,610.44x = 3,914.72 × 1,223.54
  4. Step 4: Simplify right side
    2,610.44x = 4,789,816.51
  5. Step 5: Solve for x
    x = 4,789,816.51/2,610.44
  6. Step 6: Final answer
    x = 1,834.87

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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.