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Finding the Fourth Proportional to 4,469.65, 6,704.51 and 1,349.66

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Solution

The fourth proportional to 4,469.65, 6,704.51 and 1,349.66 is: 2,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.65 : 6,704.51 = 1,349.66 : x
  2. Step 2: Convert to fraction form
    4,469.65/6,704.51 = 1,349.66/x
  3. Step 3: Cross multiply
    4,469.65x = 6,704.51 × 1,349.66
  4. Step 4: Simplify right side
    4,469.65x = 9,048,818.98
  5. Step 5: Solve for x
    x = 9,048,818.98/4,469.65
  6. Step 6: Final answer
    x = 2,024.50

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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.