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Finding the Fourth Proportional to 2,665.22, 3,679.01 and 2,096.58

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Solution

The fourth proportional to 2,665.22, 3,679.01 and 2,096.58 is: 2,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.22 : 3,679.01 = 2,096.58 : x
  2. Step 2: Convert to fraction form
    2,665.22/3,679.01 = 2,096.58/x
  3. Step 3: Cross multiply
    2,665.22x = 3,679.01 × 2,096.58
  4. Step 4: Simplify right side
    2,665.22x = 7,713,344.03
  5. Step 5: Solve for x
    x = 7,713,344.03/2,665.22
  6. Step 6: Final answer
    x = 2,894.08

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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.