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Finding the Fourth Proportional to 1,684, 2,525.73 and 1,195.57

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Solution

The fourth proportional to 1,684, 2,525.73 and 1,195.57 is: 1,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,525.73 = 1,195.57 : x
  2. Step 2: Convert to fraction form
    1,684/2,525.73 = 1,195.57/x
  3. Step 3: Cross multiply
    1,684x = 2,525.73 × 1,195.57
  4. Step 4: Simplify right side
    1,684x = 3,019,687.02
  5. Step 5: Solve for x
    x = 3,019,687.02/1,684
  6. Step 6: Final answer
    x = 1,793.16

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Why These Related Problems?

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