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Finding the Fourth Proportional to 1,725.78, 2,380.87 and 1,202.12

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Solution

The fourth proportional to 1,725.78, 2,380.87 and 1,202.12 is: 1,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.78 : 2,380.87 = 1,202.12 : x
  2. Step 2: Convert to fraction form
    1,725.78/2,380.87 = 1,202.12/x
  3. Step 3: Cross multiply
    1,725.78x = 2,380.87 × 1,202.12
  4. Step 4: Simplify right side
    1,725.78x = 2,862,089.97
  5. Step 5: Solve for x
    x = 2,862,089.97/1,725.78
  6. Step 6: Final answer
    x = 1,658.43

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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.