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Finding the Fourth Proportional to 1,751.77, 2,629.01 and 1,738.09

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Solution

The fourth proportional to 1,751.77, 2,629.01 and 1,738.09 is: 2,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.77 : 2,629.01 = 1,738.09 : x
  2. Step 2: Convert to fraction form
    1,751.77/2,629.01 = 1,738.09/x
  3. Step 3: Cross multiply
    1,751.77x = 2,629.01 × 1,738.09
  4. Step 4: Simplify right side
    1,751.77x = 4,569,455.99
  5. Step 5: Solve for x
    x = 4,569,455.99/1,751.77
  6. Step 6: Final answer
    x = 2,608.48

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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.