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Finding the Fourth Proportional to 1,751.70, 2,627.69 and 519.09

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Solution

The fourth proportional to 1,751.70, 2,627.69 and 519.09 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.70 : 2,627.69 = 519.09 : x
  2. Step 2: Convert to fraction form
    1,751.70/2,627.69 = 519.09/x
  3. Step 3: Cross multiply
    1,751.70x = 2,627.69 × 519.09
  4. Step 4: Simplify right side
    1,751.70x = 1,364,005.01
  5. Step 5: Solve for x
    x = 1,364,005.01/1,751.70
  6. Step 6: Final answer
    x = 778.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.