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Finding the Fourth Proportional to 1,388.00, 2,082.74 and 926.03

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Solution

The fourth proportional to 1,388.00, 2,082.74 and 926.03 is: 1,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.00 : 2,082.74 = 926.03 : x
  2. Step 2: Convert to fraction form
    1,388.00/2,082.74 = 926.03/x
  3. Step 3: Cross multiply
    1,388.00x = 2,082.74 × 926.03
  4. Step 4: Simplify right side
    1,388.00x = 1,928,664.68
  5. Step 5: Solve for x
    x = 1,928,664.68/1,388.00
  6. Step 6: Final answer
    x = 1,389.53

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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.