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Finding the Fourth Proportional to 3,195.26, 4,409.02 and 1,778.84

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Solution

The fourth proportional to 3,195.26, 4,409.02 and 1,778.84 is: 2,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.26 : 4,409.02 = 1,778.84 : x
  2. Step 2: Convert to fraction form
    3,195.26/4,409.02 = 1,778.84/x
  3. Step 3: Cross multiply
    3,195.26x = 4,409.02 × 1,778.84
  4. Step 4: Simplify right side
    3,195.26x = 7,842,941.14
  5. Step 5: Solve for x
    x = 7,842,941.14/3,195.26
  6. Step 6: Final answer
    x = 2,454.55

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