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Finding the Fourth Proportional to 1,631.30, 2,251.06 and 968.31

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Solution

The fourth proportional to 1,631.30, 2,251.06 and 968.31 is: 1,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.30 : 2,251.06 = 968.31 : x
  2. Step 2: Convert to fraction form
    1,631.30/2,251.06 = 968.31/x
  3. Step 3: Cross multiply
    1,631.30x = 2,251.06 × 968.31
  4. Step 4: Simplify right side
    1,631.30x = 2,179,721.49
  5. Step 5: Solve for x
    x = 2,179,721.49/1,631.30
  6. Step 6: Final answer
    x = 1,336.19

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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.