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Finding the Fourth Proportional to 3,295.92, 4,548.44 and 1,803.84

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Solution

The fourth proportional to 3,295.92, 4,548.44 and 1,803.84 is: 2,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.92 : 4,548.44 = 1,803.84 : x
  2. Step 2: Convert to fraction form
    3,295.92/4,548.44 = 1,803.84/x
  3. Step 3: Cross multiply
    3,295.92x = 4,548.44 × 1,803.84
  4. Step 4: Simplify right side
    3,295.92x = 8,204,658.01
  5. Step 5: Solve for x
    x = 8,204,658.01/3,295.92
  6. Step 6: Final answer
    x = 2,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.