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Finding the Fourth Proportional to 2,658.42, 3,673.62 and 2,028.24

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Solution

The fourth proportional to 2,658.42, 3,673.62 and 2,028.24 is: 2,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.42 : 3,673.62 = 2,028.24 : x
  2. Step 2: Convert to fraction form
    2,658.42/3,673.62 = 2,028.24/x
  3. Step 3: Cross multiply
    2,658.42x = 3,673.62 × 2,028.24
  4. Step 4: Simplify right side
    2,658.42x = 7,450,983.03
  5. Step 5: Solve for x
    x = 7,450,983.03/2,658.42
  6. Step 6: Final answer
    x = 2,802.79

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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.