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Finding the Fourth Proportional to 2,080.91, 3,119.45 and 985.59

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Solution

The fourth proportional to 2,080.91, 3,119.45 and 985.59 is: 1,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.91 : 3,119.45 = 985.59 : x
  2. Step 2: Convert to fraction form
    2,080.91/3,119.45 = 985.59/x
  3. Step 3: Cross multiply
    2,080.91x = 3,119.45 × 985.59
  4. Step 4: Simplify right side
    2,080.91x = 3,074,493.80
  5. Step 5: Solve for x
    x = 3,074,493.80/2,080.91
  6. Step 6: Final answer
    x = 1,477.47

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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.