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Finding the Fourth Proportional to 1,634.80, 2,439.20 and 1,418.80

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Solution

The fourth proportional to 1,634.80, 2,439.20 and 1,418.80 is: 2,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.80 : 2,439.20 = 1,418.80 : x
  2. Step 2: Convert to fraction form
    1,634.80/2,439.20 = 1,418.80/x
  3. Step 3: Cross multiply
    1,634.80x = 2,439.20 × 1,418.80
  4. Step 4: Simplify right side
    1,634.80x = 3,460,736.96
  5. Step 5: Solve for x
    x = 3,460,736.96/1,634.80
  6. Step 6: Final answer
    x = 2,116.92

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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.