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Finding the Fourth Proportional to 2,049.22, 2,829.09 and 1,352.62

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Solution

The fourth proportional to 2,049.22, 2,829.09 and 1,352.62 is: 1,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.22 : 2,829.09 = 1,352.62 : x
  2. Step 2: Convert to fraction form
    2,049.22/2,829.09 = 1,352.62/x
  3. Step 3: Cross multiply
    2,049.22x = 2,829.09 × 1,352.62
  4. Step 4: Simplify right side
    2,049.22x = 3,826,683.72
  5. Step 5: Solve for x
    x = 3,826,683.72/2,049.22
  6. Step 6: Final answer
    x = 1,867.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.