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Finding the Fourth Proportional to 1,654.97, 2,485.92 and 1,395.48

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Solution

The fourth proportional to 1,654.97, 2,485.92 and 1,395.48 is: 2,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.97 : 2,485.92 = 1,395.48 : x
  2. Step 2: Convert to fraction form
    1,654.97/2,485.92 = 1,395.48/x
  3. Step 3: Cross multiply
    1,654.97x = 2,485.92 × 1,395.48
  4. Step 4: Simplify right side
    1,654.97x = 3,469,040.44
  5. Step 5: Solve for x
    x = 3,469,040.44/1,654.97
  6. Step 6: Final answer
    x = 2,096.14

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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.