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Finding the Fourth Proportional to 2,276.98, 3,415.92 and 717.37

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Solution

The fourth proportional to 2,276.98, 3,415.92 and 717.37 is: 1,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.98 : 3,415.92 = 717.37 : x
  2. Step 2: Convert to fraction form
    2,276.98/3,415.92 = 717.37/x
  3. Step 3: Cross multiply
    2,276.98x = 3,415.92 × 717.37
  4. Step 4: Simplify right side
    2,276.98x = 2,450,474.94
  5. Step 5: Solve for x
    x = 2,450,474.94/2,276.98
  6. Step 6: Final answer
    x = 1,076.20

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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.