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Finding the Fourth Proportional to 2,049.82, 2,829.92 and 1,352.41

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Solution

The fourth proportional to 2,049.82, 2,829.92 and 1,352.41 is: 1,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.82 : 2,829.92 = 1,352.41 : x
  2. Step 2: Convert to fraction form
    2,049.82/2,829.92 = 1,352.41/x
  3. Step 3: Cross multiply
    2,049.82x = 2,829.92 × 1,352.41
  4. Step 4: Simplify right side
    2,049.82x = 3,827,191.20
  5. Step 5: Solve for x
    x = 3,827,191.20/2,049.82
  6. Step 6: Final answer
    x = 1,867.09

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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.