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Finding the Fourth Proportional to 3,269.26, 4,903.99 and 804.07

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Solution

The fourth proportional to 3,269.26, 4,903.99 and 804.07 is: 1,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.26 : 4,903.99 = 804.07 : x
  2. Step 2: Convert to fraction form
    3,269.26/4,903.99 = 804.07/x
  3. Step 3: Cross multiply
    3,269.26x = 4,903.99 × 804.07
  4. Step 4: Simplify right side
    3,269.26x = 3,943,151.24
  5. Step 5: Solve for x
    x = 3,943,151.24/3,269.26
  6. Step 6: Final answer
    x = 1,206.13

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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.