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Finding the Fourth Proportional to 1,604.09, 2,406.86 and 872.57

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Solution

The fourth proportional to 1,604.09, 2,406.86 and 872.57 is: 1,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.09 : 2,406.86 = 872.57 : x
  2. Step 2: Convert to fraction form
    1,604.09/2,406.86 = 872.57/x
  3. Step 3: Cross multiply
    1,604.09x = 2,406.86 × 872.57
  4. Step 4: Simplify right side
    1,604.09x = 2,100,137.43
  5. Step 5: Solve for x
    x = 2,100,137.43/1,604.09
  6. Step 6: Final answer
    x = 1,309.24

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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.