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Finding the Fourth Proportional to 2,749.64, 4,124.48 and 1,290.44

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Solution

The fourth proportional to 2,749.64, 4,124.48 and 1,290.44 is: 1,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.64 : 4,124.48 = 1,290.44 : x
  2. Step 2: Convert to fraction form
    2,749.64/4,124.48 = 1,290.44/x
  3. Step 3: Cross multiply
    2,749.64x = 4,124.48 × 1,290.44
  4. Step 4: Simplify right side
    2,749.64x = 5,322,393.97
  5. Step 5: Solve for x
    x = 5,322,393.97/2,749.64
  6. Step 6: Final answer
    x = 1,935.67

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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.