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Finding the Fourth Proportional to 1,849.62, 2,552.44 and 1,063.68

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Solution

The fourth proportional to 1,849.62, 2,552.44 and 1,063.68 is: 1,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.62 : 2,552.44 = 1,063.68 : x
  2. Step 2: Convert to fraction form
    1,849.62/2,552.44 = 1,063.68/x
  3. Step 3: Cross multiply
    1,849.62x = 2,552.44 × 1,063.68
  4. Step 4: Simplify right side
    1,849.62x = 2,714,979.38
  5. Step 5: Solve for x
    x = 2,714,979.38/1,849.62
  6. Step 6: Final answer
    x = 1,467.86

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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.