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Finding the Fourth Proportional to 1,974.52, 2,722.28 and 1,619.14

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Solution

The fourth proportional to 1,974.52, 2,722.28 and 1,619.14 is: 2,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.52 : 2,722.28 = 1,619.14 : x
  2. Step 2: Convert to fraction form
    1,974.52/2,722.28 = 1,619.14/x
  3. Step 3: Cross multiply
    1,974.52x = 2,722.28 × 1,619.14
  4. Step 4: Simplify right side
    1,974.52x = 4,407,752.44
  5. Step 5: Solve for x
    x = 4,407,752.44/1,974.52
  6. Step 6: Final answer
    x = 2,232.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.