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Finding the Fourth Proportional to 1,234.09, 1,847.26 and 684.51

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Solution

The fourth proportional to 1,234.09, 1,847.26 and 684.51 is: 1,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.09 : 1,847.26 = 684.51 : x
  2. Step 2: Convert to fraction form
    1,234.09/1,847.26 = 684.51/x
  3. Step 3: Cross multiply
    1,234.09x = 1,847.26 × 684.51
  4. Step 4: Simplify right side
    1,234.09x = 1,264,467.94
  5. Step 5: Solve for x
    x = 1,264,467.94/1,234.09
  6. Step 6: Final answer
    x = 1,024.62

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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.