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Finding the Fourth Proportional to 2,974.11, 4,461.42 and 893.97

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Solution

The fourth proportional to 2,974.11, 4,461.42 and 893.97 is: 1,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.11 : 4,461.42 = 893.97 : x
  2. Step 2: Convert to fraction form
    2,974.11/4,461.42 = 893.97/x
  3. Step 3: Cross multiply
    2,974.11x = 4,461.42 × 893.97
  4. Step 4: Simplify right side
    2,974.11x = 3,988,375.64
  5. Step 5: Solve for x
    x = 3,988,375.64/2,974.11
  6. Step 6: Final answer
    x = 1,341.03

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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.