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Finding the Fourth Proportional to 3,269.19, 4,903.74 and 804.03

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Solution

The fourth proportional to 3,269.19, 4,903.74 and 804.03 is: 1,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.19 : 4,903.74 = 804.03 : x
  2. Step 2: Convert to fraction form
    3,269.19/4,903.74 = 804.03/x
  3. Step 3: Cross multiply
    3,269.19x = 4,903.74 × 804.03
  4. Step 4: Simplify right side
    3,269.19x = 3,942,725.53
  5. Step 5: Solve for x
    x = 3,942,725.53/3,269.19
  6. Step 6: Final answer
    x = 1,206.03

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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.