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Finding the Fourth Proportional to 2,149.57, 2,974.82 and 2,113.12

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Solution

The fourth proportional to 2,149.57, 2,974.82 and 2,113.12 is: 2,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.57 : 2,974.82 = 2,113.12 : x
  2. Step 2: Convert to fraction form
    2,149.57/2,974.82 = 2,113.12/x
  3. Step 3: Cross multiply
    2,149.57x = 2,974.82 × 2,113.12
  4. Step 4: Simplify right side
    2,149.57x = 6,286,151.64
  5. Step 5: Solve for x
    x = 6,286,151.64/2,149.57
  6. Step 6: Final answer
    x = 2,924.38

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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.