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Finding the Fourth Proportional to 2,578.58, 3,864.63 and 1,849.58

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Solution

The fourth proportional to 2,578.58, 3,864.63 and 1,849.58 is: 2,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.58 : 3,864.63 = 1,849.58 : x
  2. Step 2: Convert to fraction form
    2,578.58/3,864.63 = 1,849.58/x
  3. Step 3: Cross multiply
    2,578.58x = 3,864.63 × 1,849.58
  4. Step 4: Simplify right side
    2,578.58x = 7,147,942.36
  5. Step 5: Solve for x
    x = 7,147,942.36/2,578.58
  6. Step 6: Final answer
    x = 2,772.05

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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.