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Finding the Fourth Proportional to 2,768.14, 3,820.11 and 1,509.25

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Solution

The fourth proportional to 2,768.14, 3,820.11 and 1,509.25 is: 2,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.14 : 3,820.11 = 1,509.25 : x
  2. Step 2: Convert to fraction form
    2,768.14/3,820.11 = 1,509.25/x
  3. Step 3: Cross multiply
    2,768.14x = 3,820.11 × 1,509.25
  4. Step 4: Simplify right side
    2,768.14x = 5,765,501.02
  5. Step 5: Solve for x
    x = 5,765,501.02/2,768.14
  6. Step 6: Final answer
    x = 2,082.81

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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.