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Finding the Fourth Proportional to 2,805, 4,205.88 and 1,245

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Solution

The fourth proportional to 2,805, 4,205.88 and 1,245 is: 1,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805 : 4,205.88 = 1,245 : x
  2. Step 2: Convert to fraction form
    2,805/4,205.88 = 1,245/x
  3. Step 3: Cross multiply
    2,805x = 4,205.88 × 1,245
  4. Step 4: Simplify right side
    2,805x = 5,236,320.60
  5. Step 5: Solve for x
    x = 5,236,320.60/2,805
  6. Step 6: Final answer
    x = 1,866.78

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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.