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Finding the Fourth Proportional to 2,256.52, 3,384.70 and 717.56

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Solution

The fourth proportional to 2,256.52, 3,384.70 and 717.56 is: 1,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.52 : 3,384.70 = 717.56 : x
  2. Step 2: Convert to fraction form
    2,256.52/3,384.70 = 717.56/x
  3. Step 3: Cross multiply
    2,256.52x = 3,384.70 × 717.56
  4. Step 4: Simplify right side
    2,256.52x = 2,428,725.33
  5. Step 5: Solve for x
    x = 2,428,725.33/2,256.52
  6. Step 6: Final answer
    x = 1,076.31

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