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Finding the Fourth Proportional to 2,406.88, 3,604.74 and 1,756

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Solution

The fourth proportional to 2,406.88, 3,604.74 and 1,756 is: 2,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.88 : 3,604.74 = 1,756 : x
  2. Step 2: Convert to fraction form
    2,406.88/3,604.74 = 1,756/x
  3. Step 3: Cross multiply
    2,406.88x = 3,604.74 × 1,756
  4. Step 4: Simplify right side
    2,406.88x = 6,329,923.44
  5. Step 5: Solve for x
    x = 6,329,923.44/2,406.88
  6. Step 6: Final answer
    x = 2,629.93

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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.