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Finding the Fourth Proportional to 2,080.56, 3,121.37 and 619.67

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Solution

The fourth proportional to 2,080.56, 3,121.37 and 619.67 is: 929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.56 : 3,121.37 = 619.67 : x
  2. Step 2: Convert to fraction form
    2,080.56/3,121.37 = 619.67/x
  3. Step 3: Cross multiply
    2,080.56x = 3,121.37 × 619.67
  4. Step 4: Simplify right side
    2,080.56x = 1,934,200.64
  5. Step 5: Solve for x
    x = 1,934,200.64/2,080.56
  6. Step 6: Final answer
    x = 929.65

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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.