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Finding the Fourth Proportional to 2,166.69, 2,983.73 and 1,882.98

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Solution

The fourth proportional to 2,166.69, 2,983.73 and 1,882.98 is: 2,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.69 : 2,983.73 = 1,882.98 : x
  2. Step 2: Convert to fraction form
    2,166.69/2,983.73 = 1,882.98/x
  3. Step 3: Cross multiply
    2,166.69x = 2,983.73 × 1,882.98
  4. Step 4: Simplify right side
    2,166.69x = 5,618,308.62
  5. Step 5: Solve for x
    x = 5,618,308.62/2,166.69
  6. Step 6: Final answer
    x = 2,593.04

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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.