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Finding the Fourth Proportional to 2,166.56, 3,253.07 and 2,090.96

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Solution

The fourth proportional to 2,166.56, 3,253.07 and 2,090.96 is: 3,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.56 : 3,253.07 = 2,090.96 : x
  2. Step 2: Convert to fraction form
    2,166.56/3,253.07 = 2,090.96/x
  3. Step 3: Cross multiply
    2,166.56x = 3,253.07 × 2,090.96
  4. Step 4: Simplify right side
    2,166.56x = 6,802,028.21
  5. Step 5: Solve for x
    x = 6,802,028.21/2,166.56
  6. Step 6: Final answer
    x = 3,139.56

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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.