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Finding the Fourth Proportional to 2,035.69, 3,054.69 and 803.20

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Solution

The fourth proportional to 2,035.69, 3,054.69 and 803.20 is: 1,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.69 : 3,054.69 = 803.20 : x
  2. Step 2: Convert to fraction form
    2,035.69/3,054.69 = 803.20/x
  3. Step 3: Cross multiply
    2,035.69x = 3,054.69 × 803.20
  4. Step 4: Simplify right side
    2,035.69x = 2,453,511.73
  5. Step 5: Solve for x
    x = 2,453,511.73/2,035.69
  6. Step 6: Final answer
    x = 1,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.