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Finding the Fourth Proportional to 1,631.64, 2,251.99 and 968.86

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Solution

The fourth proportional to 1,631.64, 2,251.99 and 968.86 is: 1,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.64 : 2,251.99 = 968.86 : x
  2. Step 2: Convert to fraction form
    1,631.64/2,251.99 = 968.86/x
  3. Step 3: Cross multiply
    1,631.64x = 2,251.99 × 968.86
  4. Step 4: Simplify right side
    1,631.64x = 2,181,863.03
  5. Step 5: Solve for x
    x = 2,181,863.03/1,631.64
  6. Step 6: Final answer
    x = 1,337.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.