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Finding the Fourth Proportional to 1,974, 2,724.36 and 1,146

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Solution

The fourth proportional to 1,974, 2,724.36 and 1,146 is: 1,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974 : 2,724.36 = 1,146 : x
  2. Step 2: Convert to fraction form
    1,974/2,724.36 = 1,146/x
  3. Step 3: Cross multiply
    1,974x = 2,724.36 × 1,146
  4. Step 4: Simplify right side
    1,974x = 3,122,116.56
  5. Step 5: Solve for x
    x = 3,122,116.56/1,974
  6. Step 6: Final answer
    x = 1,581.62

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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.