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Finding the Fourth Proportional to 2,256.52, 3,382.14 and 957.64

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Solution

The fourth proportional to 2,256.52, 3,382.14 and 957.64 is: 1,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.52 : 3,382.14 = 957.64 : x
  2. Step 2: Convert to fraction form
    2,256.52/3,382.14 = 957.64/x
  3. Step 3: Cross multiply
    2,256.52x = 3,382.14 × 957.64
  4. Step 4: Simplify right side
    2,256.52x = 3,238,872.55
  5. Step 5: Solve for x
    x = 3,238,872.55/2,256.52
  6. Step 6: Final answer
    x = 1,435.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.