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Finding the Fourth Proportional to 2,329.74, 3,216.05 and 1,665.44

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Solution

The fourth proportional to 2,329.74, 3,216.05 and 1,665.44 is: 2,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.74 : 3,216.05 = 1,665.44 : x
  2. Step 2: Convert to fraction form
    2,329.74/3,216.05 = 1,665.44/x
  3. Step 3: Cross multiply
    2,329.74x = 3,216.05 × 1,665.44
  4. Step 4: Simplify right side
    2,329.74x = 5,356,138.31
  5. Step 5: Solve for x
    x = 5,356,138.31/2,329.74
  6. Step 6: Final answer
    x = 2,299.03

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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.