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Finding the Fourth Proportional to 2,698.99, 3,725.09 and 1,704.61

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Solution

The fourth proportional to 2,698.99, 3,725.09 and 1,704.61 is: 2,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.99 : 3,725.09 = 1,704.61 : x
  2. Step 2: Convert to fraction form
    2,698.99/3,725.09 = 1,704.61/x
  3. Step 3: Cross multiply
    2,698.99x = 3,725.09 × 1,704.61
  4. Step 4: Simplify right side
    2,698.99x = 6,349,828.19
  5. Step 5: Solve for x
    x = 6,349,828.19/2,698.99
  6. Step 6: Final answer
    x = 2,352.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.