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Finding the Fourth Proportional to 2,263.76, 3,392.32 and 1,028.12

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Solution

The fourth proportional to 2,263.76, 3,392.32 and 1,028.12 is: 1,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.76 : 3,392.32 = 1,028.12 : x
  2. Step 2: Convert to fraction form
    2,263.76/3,392.32 = 1,028.12/x
  3. Step 3: Cross multiply
    2,263.76x = 3,392.32 × 1,028.12
  4. Step 4: Simplify right side
    2,263.76x = 3,487,712.04
  5. Step 5: Solve for x
    x = 3,487,712.04/2,263.76
  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.