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Finding the Fourth Proportional to 2,276.43, 3,415.46 and 795.87

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Solution

The fourth proportional to 2,276.43, 3,415.46 and 795.87 is: 1,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.43 : 3,415.46 = 795.87 : x
  2. Step 2: Convert to fraction form
    2,276.43/3,415.46 = 795.87/x
  3. Step 3: Cross multiply
    2,276.43x = 3,415.46 × 795.87
  4. Step 4: Simplify right side
    2,276.43x = 2,718,262.15
  5. Step 5: Solve for x
    x = 2,718,262.15/2,276.43
  6. Step 6: Final answer
    x = 1,194.09

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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.