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Finding the Fourth Proportional to 2,080.42, 3,120.73 and 619.59

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Solution

The fourth proportional to 2,080.42, 3,120.73 and 619.59 is: 929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.42 : 3,120.73 = 619.59 : x
  2. Step 2: Convert to fraction form
    2,080.42/3,120.73 = 619.59/x
  3. Step 3: Cross multiply
    2,080.42x = 3,120.73 × 619.59
  4. Step 4: Simplify right side
    2,080.42x = 1,933,573.10
  5. Step 5: Solve for x
    x = 1,933,573.10/2,080.42
  6. Step 6: Final answer
    x = 929.41

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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.