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Finding the Fourth Proportional to 1,638.80, 2,458.19 and 484.55

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Solution

The fourth proportional to 1,638.80, 2,458.19 and 484.55 is: 726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.80 : 2,458.19 = 484.55 : x
  2. Step 2: Convert to fraction form
    1,638.80/2,458.19 = 484.55/x
  3. Step 3: Cross multiply
    1,638.80x = 2,458.19 × 484.55
  4. Step 4: Simplify right side
    1,638.80x = 1,191,113.54
  5. Step 5: Solve for x
    x = 1,191,113.54/1,638.80
  6. Step 6: Final answer
    x = 726.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.