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Finding the Fourth Proportional to 2,024.69, 2,794.10 and 1,185.89

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Solution

The fourth proportional to 2,024.69, 2,794.10 and 1,185.89 is: 1,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.69 : 2,794.10 = 1,185.89 : x
  2. Step 2: Convert to fraction form
    2,024.69/2,794.10 = 1,185.89/x
  3. Step 3: Cross multiply
    2,024.69x = 2,794.10 × 1,185.89
  4. Step 4: Simplify right side
    2,024.69x = 3,313,496.30
  5. Step 5: Solve for x
    x = 3,313,496.30/2,024.69
  6. Step 6: Final answer
    x = 1,636.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.