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Finding the Fourth Proportional to 2,295.91, 3,446.34 and 1,722.43

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Solution

The fourth proportional to 2,295.91, 3,446.34 and 1,722.43 is: 2,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.91 : 3,446.34 = 1,722.43 : x
  2. Step 2: Convert to fraction form
    2,295.91/3,446.34 = 1,722.43/x
  3. Step 3: Cross multiply
    2,295.91x = 3,446.34 × 1,722.43
  4. Step 4: Simplify right side
    2,295.91x = 5,936,079.41
  5. Step 5: Solve for x
    x = 5,936,079.41/2,295.91
  6. Step 6: Final answer
    x = 2,585.50

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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.