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Finding the Fourth Proportional to 1,843.05, 2,764.50 and 456.39

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Solution

The fourth proportional to 1,843.05, 2,764.50 and 456.39 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.05 : 2,764.50 = 456.39 : x
  2. Step 2: Convert to fraction form
    1,843.05/2,764.50 = 456.39/x
  3. Step 3: Cross multiply
    1,843.05x = 2,764.50 × 456.39
  4. Step 4: Simplify right side
    1,843.05x = 1,261,690.16
  5. Step 5: Solve for x
    x = 1,261,690.16/1,843.05
  6. Step 6: Final answer
    x = 684.57

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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.