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Finding the Fourth Proportional to 1,684.35, 2,523.78 and 1,195.02

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Solution

The fourth proportional to 1,684.35, 2,523.78 and 1,195.02 is: 1,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.35 : 2,523.78 = 1,195.02 : x
  2. Step 2: Convert to fraction form
    1,684.35/2,523.78 = 1,195.02/x
  3. Step 3: Cross multiply
    1,684.35x = 2,523.78 × 1,195.02
  4. Step 4: Simplify right side
    1,684.35x = 3,015,967.58
  5. Step 5: Solve for x
    x = 3,015,967.58/1,684.35
  6. Step 6: Final answer
    x = 1,790.58

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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.