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Finding the Fourth Proportional to 2,605.89, 3,907.44 and 1,143.33

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Solution

The fourth proportional to 2,605.89, 3,907.44 and 1,143.33 is: 1,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.89 : 3,907.44 = 1,143.33 : x
  2. Step 2: Convert to fraction form
    2,605.89/3,907.44 = 1,143.33/x
  3. Step 3: Cross multiply
    2,605.89x = 3,907.44 × 1,143.33
  4. Step 4: Simplify right side
    2,605.89x = 4,467,493.38
  5. Step 5: Solve for x
    x = 4,467,493.38/2,605.89
  6. Step 6: Final answer
    x = 1,714.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.