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Finding the Fourth Proportional to 2,707.26, 4,056.22 and 1,827.82

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Solution

The fourth proportional to 2,707.26, 4,056.22 and 1,827.82 is: 2,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.26 : 4,056.22 = 1,827.82 : x
  2. Step 2: Convert to fraction form
    2,707.26/4,056.22 = 1,827.82/x
  3. Step 3: Cross multiply
    2,707.26x = 4,056.22 × 1,827.82
  4. Step 4: Simplify right side
    2,707.26x = 7,414,040.04
  5. Step 5: Solve for x
    x = 7,414,040.04/2,707.26
  6. Step 6: Final answer
    x = 2,738.58

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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.