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Finding the Fourth Proportional to 1,620.54, 2,422.08 and 1,449.36

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Solution

The fourth proportional to 1,620.54, 2,422.08 and 1,449.36 is: 2,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.54 : 2,422.08 = 1,449.36 : x
  2. Step 2: Convert to fraction form
    1,620.54/2,422.08 = 1,449.36/x
  3. Step 3: Cross multiply
    1,620.54x = 2,422.08 × 1,449.36
  4. Step 4: Simplify right side
    1,620.54x = 3,510,465.87
  5. Step 5: Solve for x
    x = 3,510,465.87/1,620.54
  6. Step 6: Final answer
    x = 2,166.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.