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Finding the Fourth Proportional to 2,578.08, 3,863.88 and 1,849.08

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Solution

The fourth proportional to 2,578.08, 3,863.88 and 1,849.08 is: 2,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.08 : 3,863.88 = 1,849.08 : x
  2. Step 2: Convert to fraction form
    2,578.08/3,863.88 = 1,849.08/x
  3. Step 3: Cross multiply
    2,578.08x = 3,863.88 × 1,849.08
  4. Step 4: Simplify right side
    2,578.08x = 7,144,623.23
  5. Step 5: Solve for x
    x = 7,144,623.23/2,578.08
  6. Step 6: Final answer
    x = 2,771.30

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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.