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Finding the Fourth Proportional to 1,704.92, 2,559.54 and 1,450.04

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Solution

The fourth proportional to 1,704.92, 2,559.54 and 1,450.04 is: 2,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.92 : 2,559.54 = 1,450.04 : x
  2. Step 2: Convert to fraction form
    1,704.92/2,559.54 = 1,450.04/x
  3. Step 3: Cross multiply
    1,704.92x = 2,559.54 × 1,450.04
  4. Step 4: Simplify right side
    1,704.92x = 3,711,435.38
  5. Step 5: Solve for x
    x = 3,711,435.38/1,704.92
  6. Step 6: Final answer
    x = 2,176.90

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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.