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Finding the Fourth Proportional to 3,195.00, 4,409.21 and 1,759.52

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Solution

The fourth proportional to 3,195.00, 4,409.21 and 1,759.52 is: 2,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.00 : 4,409.21 = 1,759.52 : x
  2. Step 2: Convert to fraction form
    3,195.00/4,409.21 = 1,759.52/x
  3. Step 3: Cross multiply
    3,195.00x = 4,409.21 × 1,759.52
  4. Step 4: Simplify right side
    3,195.00x = 7,758,102.82
  5. Step 5: Solve for x
    x = 7,758,102.82/3,195.00
  6. Step 6: Final answer
    x = 2,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.