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Finding the Fourth Proportional to 2,658.39, 3,968.39 and 2,466.09

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Solution

The fourth proportional to 2,658.39, 3,968.39 and 2,466.09 is: 3,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.39 : 3,968.39 = 2,466.09 : x
  2. Step 2: Convert to fraction form
    2,658.39/3,968.39 = 2,466.09/x
  3. Step 3: Cross multiply
    2,658.39x = 3,968.39 × 2,466.09
  4. Step 4: Simplify right side
    2,658.39x = 9,786,394.56
  5. Step 5: Solve for x
    x = 9,786,394.56/2,658.39
  6. Step 6: Final answer
    x = 3,681.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.