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Finding the Fourth Proportional to 1,982.34, 2,971.08 and 1,404

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Solution

The fourth proportional to 1,982.34, 2,971.08 and 1,404 is: 2,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.34 : 2,971.08 = 1,404 : x
  2. Step 2: Convert to fraction form
    1,982.34/2,971.08 = 1,404/x
  3. Step 3: Cross multiply
    1,982.34x = 2,971.08 × 1,404
  4. Step 4: Simplify right side
    1,982.34x = 4,171,396.32
  5. Step 5: Solve for x
    x = 4,171,396.32/1,982.34
  6. Step 6: Final answer
    x = 2,104.28

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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.