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Finding the Fourth Proportional to 3,329.70, 4,992.28 and 1,661.70

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Solution

The fourth proportional to 3,329.70, 4,992.28 and 1,661.70 is: 2,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.70 : 4,992.28 = 1,661.70 : x
  2. Step 2: Convert to fraction form
    3,329.70/4,992.28 = 1,661.70/x
  3. Step 3: Cross multiply
    3,329.70x = 4,992.28 × 1,661.70
  4. Step 4: Simplify right side
    3,329.70x = 8,295,686.24
  5. Step 5: Solve for x
    x = 8,295,686.24/3,329.70
  6. Step 6: Final answer
    x = 2,491.42

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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.