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Finding the Fourth Proportional to 1,704.43, 2,554.41 and 1,661.50

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Solution

The fourth proportional to 1,704.43, 2,554.41 and 1,661.50 is: 2,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.43 : 2,554.41 = 1,661.50 : x
  2. Step 2: Convert to fraction form
    1,704.43/2,554.41 = 1,661.50/x
  3. Step 3: Cross multiply
    1,704.43x = 2,554.41 × 1,661.50
  4. Step 4: Simplify right side
    1,704.43x = 4,244,139.44
  5. Step 5: Solve for x
    x = 4,244,139.44/1,704.43
  6. Step 6: Final answer
    x = 2,490.07

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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.