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Finding the Fourth Proportional to 2,709.26, 4,059.22 and 1,829.82

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Solution

The fourth proportional to 2,709.26, 4,059.22 and 1,829.82 is: 2,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.26 : 4,059.22 = 1,829.82 : x
  2. Step 2: Convert to fraction form
    2,709.26/4,059.22 = 1,829.82/x
  3. Step 3: Cross multiply
    2,709.26x = 4,059.22 × 1,829.82
  4. Step 4: Simplify right side
    2,709.26x = 7,427,641.94
  5. Step 5: Solve for x
    x = 7,427,641.94/2,709.26
  6. Step 6: Final answer
    x = 2,741.58

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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.