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Finding the Fourth Proportional to 3,308.87, 4,962.82 and 968.26

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Solution

The fourth proportional to 3,308.87, 4,962.82 and 968.26 is: 1,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.87 : 4,962.82 = 968.26 : x
  2. Step 2: Convert to fraction form
    3,308.87/4,962.82 = 968.26/x
  3. Step 3: Cross multiply
    3,308.87x = 4,962.82 × 968.26
  4. Step 4: Simplify right side
    3,308.87x = 4,805,300.09
  5. Step 5: Solve for x
    x = 4,805,300.09/3,308.87
  6. Step 6: Final answer
    x = 1,452.25

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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.