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Finding the Fourth Proportional to 1,336.71, 2,002.97 and 1,028.19

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Solution

The fourth proportional to 1,336.71, 2,002.97 and 1,028.19 is: 1,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.71 : 2,002.97 = 1,028.19 : x
  2. Step 2: Convert to fraction form
    1,336.71/2,002.97 = 1,028.19/x
  3. Step 3: Cross multiply
    1,336.71x = 2,002.97 × 1,028.19
  4. Step 4: Simplify right side
    1,336.71x = 2,059,428.58
  5. Step 5: Solve for x
    x = 2,059,428.58/1,336.71
  6. Step 6: Final answer
    x = 1,540.67

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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.