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Finding the Fourth Proportional to 1,809.89, 2,496.81 and 1,063.83

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Solution

The fourth proportional to 1,809.89, 2,496.81 and 1,063.83 is: 1,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.89 : 2,496.81 = 1,063.83 : x
  2. Step 2: Convert to fraction form
    1,809.89/2,496.81 = 1,063.83/x
  3. Step 3: Cross multiply
    1,809.89x = 2,496.81 × 1,063.83
  4. Step 4: Simplify right side
    1,809.89x = 2,656,181.38
  5. Step 5: Solve for x
    x = 2,656,181.38/1,809.89
  6. Step 6: Final answer
    x = 1,467.60

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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.