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Finding the Fourth Proportional to 2,063.64, 3,093.72 and 1,403.67

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Solution

The fourth proportional to 2,063.64, 3,093.72 and 1,403.67 is: 2,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.64 : 3,093.72 = 1,403.67 : x
  2. Step 2: Convert to fraction form
    2,063.64/3,093.72 = 1,403.67/x
  3. Step 3: Cross multiply
    2,063.64x = 3,093.72 × 1,403.67
  4. Step 4: Simplify right side
    2,063.64x = 4,342,546.48
  5. Step 5: Solve for x
    x = 4,342,546.48/2,063.64
  6. Step 6: Final answer
    x = 2,104.31

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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.