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Finding the Fourth Proportional to 1,794.29, 2,675.74 and 1,777.89

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Solution

The fourth proportional to 1,794.29, 2,675.74 and 1,777.89 is: 2,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.29 : 2,675.74 = 1,777.89 : x
  2. Step 2: Convert to fraction form
    1,794.29/2,675.74 = 1,777.89/x
  3. Step 3: Cross multiply
    1,794.29x = 2,675.74 × 1,777.89
  4. Step 4: Simplify right side
    1,794.29x = 4,757,166.94
  5. Step 5: Solve for x
    x = 4,757,166.94/1,794.29
  6. Step 6: Final answer
    x = 2,651.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.