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Finding the Fourth Proportional to 2,501.81, 3,450.72 and 1,662.09

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Solution

The fourth proportional to 2,501.81, 3,450.72 and 1,662.09 is: 2,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.81 : 3,450.72 = 1,662.09 : x
  2. Step 2: Convert to fraction form
    2,501.81/3,450.72 = 1,662.09/x
  3. Step 3: Cross multiply
    2,501.81x = 3,450.72 × 1,662.09
  4. Step 4: Simplify right side
    2,501.81x = 5,735,407.20
  5. Step 5: Solve for x
    x = 5,735,407.20/2,501.81
  6. Step 6: Final answer
    x = 2,292.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.