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Finding the Fourth Proportional to 2,301.96, 3,168.92 and 2,080.22

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Solution

The fourth proportional to 2,301.96, 3,168.92 and 2,080.22 is: 2,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.96 : 3,168.92 = 2,080.22 : x
  2. Step 2: Convert to fraction form
    2,301.96/3,168.92 = 2,080.22/x
  3. Step 3: Cross multiply
    2,301.96x = 3,168.92 × 2,080.22
  4. Step 4: Simplify right side
    2,301.96x = 6,592,050.76
  5. Step 5: Solve for x
    x = 6,592,050.76/2,301.96
  6. Step 6: Final answer
    x = 2,863.67

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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.