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Finding the Fourth Proportional to 2,650.57, 3,971.53 and 1,350.25

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Solution

The fourth proportional to 2,650.57, 3,971.53 and 1,350.25 is: 2,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.57 : 3,971.53 = 1,350.25 : x
  2. Step 2: Convert to fraction form
    2,650.57/3,971.53 = 1,350.25/x
  3. Step 3: Cross multiply
    2,650.57x = 3,971.53 × 1,350.25
  4. Step 4: Simplify right side
    2,650.57x = 5,362,558.38
  5. Step 5: Solve for x
    x = 5,362,558.38/2,650.57
  6. Step 6: Final answer
    x = 2,023.17

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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.