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Finding the Fourth Proportional to 1,751.72, 2,627.99 and 519.14

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Solution

The fourth proportional to 1,751.72, 2,627.99 and 519.14 is: 778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.72 : 2,627.99 = 519.14 : x
  2. Step 2: Convert to fraction form
    1,751.72/2,627.99 = 519.14/x
  3. Step 3: Cross multiply
    1,751.72x = 2,627.99 × 519.14
  4. Step 4: Simplify right side
    1,751.72x = 1,364,278.99
  5. Step 5: Solve for x
    x = 1,364,278.99/1,751.72
  6. Step 6: Final answer
    x = 778.82

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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.