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Finding the Fourth Proportional to 1,974.56, 2,965.20 and 1,892

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Solution

The fourth proportional to 1,974.56, 2,965.20 and 1,892 is: 2,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.56 : 2,965.20 = 1,892 : x
  2. Step 2: Convert to fraction form
    1,974.56/2,965.20 = 1,892/x
  3. Step 3: Cross multiply
    1,974.56x = 2,965.20 × 1,892
  4. Step 4: Simplify right side
    1,974.56x = 5,610,158.40
  5. Step 5: Solve for x
    x = 5,610,158.40/1,974.56
  6. Step 6: Final answer
    x = 2,841.22

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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.