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Finding the Fourth Proportional to 2,858.39, 3,944.60 and 1,663.67

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Solution

The fourth proportional to 2,858.39, 3,944.60 and 1,663.67 is: 2,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.39 : 3,944.60 = 1,663.67 : x
  2. Step 2: Convert to fraction form
    2,858.39/3,944.60 = 1,663.67/x
  3. Step 3: Cross multiply
    2,858.39x = 3,944.60 × 1,663.67
  4. Step 4: Simplify right side
    2,858.39x = 6,562,520.46
  5. Step 5: Solve for x
    x = 6,562,520.46/2,858.39
  6. Step 6: Final answer
    x = 2,295.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.