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Finding the Fourth Proportional to 2,166.62, 2,991.21 and 1,421.88

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Solution

The fourth proportional to 2,166.62, 2,991.21 and 1,421.88 is: 1,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.62 : 2,991.21 = 1,421.88 : x
  2. Step 2: Convert to fraction form
    2,166.62/2,991.21 = 1,421.88/x
  3. Step 3: Cross multiply
    2,166.62x = 2,991.21 × 1,421.88
  4. Step 4: Simplify right side
    2,166.62x = 4,253,133.12
  5. Step 5: Solve for x
    x = 4,253,133.12/2,166.62
  6. Step 6: Final answer
    x = 1,963.03

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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.