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Finding the Fourth Proportional to 2,550.09, 3,825.08 and 701.19

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Solution

The fourth proportional to 2,550.09, 3,825.08 and 701.19 is: 1,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.09 : 3,825.08 = 701.19 : x
  2. Step 2: Convert to fraction form
    2,550.09/3,825.08 = 701.19/x
  3. Step 3: Cross multiply
    2,550.09x = 3,825.08 × 701.19
  4. Step 4: Simplify right side
    2,550.09x = 2,682,104.34
  5. Step 5: Solve for x
    x = 2,682,104.34/2,550.09
  6. Step 6: Final answer
    x = 1,051.77

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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.