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Finding the Fourth Proportional to 1,627.43, 2,245.46 and 964.44

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Solution

The fourth proportional to 1,627.43, 2,245.46 and 964.44 is: 1,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.43 : 2,245.46 = 964.44 : x
  2. Step 2: Convert to fraction form
    1,627.43/2,245.46 = 964.44/x
  3. Step 3: Cross multiply
    1,627.43x = 2,245.46 × 964.44
  4. Step 4: Simplify right side
    1,627.43x = 2,165,606.62
  5. Step 5: Solve for x
    x = 2,165,606.62/1,627.43
  6. Step 6: Final answer
    x = 1,330.70

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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.