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Finding the Fourth Proportional to 2,631.98, 3,948.34 and 965.89

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Solution

The fourth proportional to 2,631.98, 3,948.34 and 965.89 is: 1,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.98 : 3,948.34 = 965.89 : x
  2. Step 2: Convert to fraction form
    2,631.98/3,948.34 = 965.89/x
  3. Step 3: Cross multiply
    2,631.98x = 3,948.34 × 965.89
  4. Step 4: Simplify right side
    2,631.98x = 3,813,662.12
  5. Step 5: Solve for x
    x = 3,813,662.12/2,631.98
  6. Step 6: Final answer
    x = 1,448.97

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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.