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Finding the Fourth Proportional to 2,020.06, 3,029.75 and 559.22

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Solution

The fourth proportional to 2,020.06, 3,029.75 and 559.22 is: 838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.06 : 3,029.75 = 559.22 : x
  2. Step 2: Convert to fraction form
    2,020.06/3,029.75 = 559.22/x
  3. Step 3: Cross multiply
    2,020.06x = 3,029.75 × 559.22
  4. Step 4: Simplify right side
    2,020.06x = 1,694,298.19
  5. Step 5: Solve for x
    x = 1,694,298.19/2,020.06
  6. Step 6: Final answer
    x = 838.74

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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.