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Finding the Fourth Proportional to 2,079.90, 3,120.81 and 983.67

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Solution

The fourth proportional to 2,079.90, 3,120.81 and 983.67 is: 1,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.90 : 3,120.81 = 983.67 : x
  2. Step 2: Convert to fraction form
    2,079.90/3,120.81 = 983.67/x
  3. Step 3: Cross multiply
    2,079.90x = 3,120.81 × 983.67
  4. Step 4: Simplify right side
    2,079.90x = 3,069,847.17
  5. Step 5: Solve for x
    x = 3,069,847.17/2,079.90
  6. Step 6: Final answer
    x = 1,475.96

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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.