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Finding the Fourth Proportional to 2,874.34, 4,308.51 and 1,949.97

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Solution

The fourth proportional to 2,874.34, 4,308.51 and 1,949.97 is: 2,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.34 : 4,308.51 = 1,949.97 : x
  2. Step 2: Convert to fraction form
    2,874.34/4,308.51 = 1,949.97/x
  3. Step 3: Cross multiply
    2,874.34x = 4,308.51 × 1,949.97
  4. Step 4: Simplify right side
    2,874.34x = 8,401,465.24
  5. Step 5: Solve for x
    x = 8,401,465.24/2,874.34
  6. Step 6: Final answer
    x = 2,922.92

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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.