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Finding the Fourth Proportional to 1,627.64, 2,245.24 and 964.36

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Solution

The fourth proportional to 1,627.64, 2,245.24 and 964.36 is: 1,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.64 : 2,245.24 = 964.36 : x
  2. Step 2: Convert to fraction form
    1,627.64/2,245.24 = 964.36/x
  3. Step 3: Cross multiply
    1,627.64x = 2,245.24 × 964.36
  4. Step 4: Simplify right side
    1,627.64x = 2,165,219.65
  5. Step 5: Solve for x
    x = 2,165,219.65/1,627.64
  6. Step 6: Final answer
    x = 1,330.28

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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.