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Finding the Fourth Proportional to 2,995.73, 4,493.60 and 804.40

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Solution

The fourth proportional to 2,995.73, 4,493.60 and 804.40 is: 1,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.73 : 4,493.60 = 804.40 : x
  2. Step 2: Convert to fraction form
    2,995.73/4,493.60 = 804.40/x
  3. Step 3: Cross multiply
    2,995.73x = 4,493.60 × 804.40
  4. Step 4: Simplify right side
    2,995.73x = 3,614,651.84
  5. Step 5: Solve for x
    x = 3,614,651.84/2,995.73
  6. Step 6: Final answer
    x = 1,206.60

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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.