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Finding the Fourth Proportional to 3,049.92, 4,567.41 and 2,741.94

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Solution

The fourth proportional to 3,049.92, 4,567.41 and 2,741.94 is: 4,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.92 : 4,567.41 = 2,741.94 : x
  2. Step 2: Convert to fraction form
    3,049.92/4,567.41 = 2,741.94/x
  3. Step 3: Cross multiply
    3,049.92x = 4,567.41 × 2,741.94
  4. Step 4: Simplify right side
    3,049.92x = 12,523,564.18
  5. Step 5: Solve for x
    x = 12,523,564.18/3,049.92
  6. Step 6: Final answer
    x = 4,106.19

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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.