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Finding the Fourth Proportional to 2,162.69, 2,982.62 and 1,742.90

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Solution

The fourth proportional to 2,162.69, 2,982.62 and 1,742.90 is: 2,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.69 : 2,982.62 = 1,742.90 : x
  2. Step 2: Convert to fraction form
    2,162.69/2,982.62 = 1,742.90/x
  3. Step 3: Cross multiply
    2,162.69x = 2,982.62 × 1,742.90
  4. Step 4: Simplify right side
    2,162.69x = 5,198,384.77
  5. Step 5: Solve for x
    x = 5,198,384.77/2,162.69
  6. Step 6: Final answer
    x = 2,403.67

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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.