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Finding the Fourth Proportional to 1,383.68, 2,079.12 and 1,296.20

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Solution

The fourth proportional to 1,383.68, 2,079.12 and 1,296.20 is: 1,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.68 : 2,079.12 = 1,296.20 : x
  2. Step 2: Convert to fraction form
    1,383.68/2,079.12 = 1,296.20/x
  3. Step 3: Cross multiply
    1,383.68x = 2,079.12 × 1,296.20
  4. Step 4: Simplify right side
    1,383.68x = 2,694,955.34
  5. Step 5: Solve for x
    x = 2,694,955.34/1,383.68
  6. Step 6: Final answer
    x = 1,947.67

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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.