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Finding the Fourth Proportional to 2,654.49, 3,983.12 and 1,483.77

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Solution

The fourth proportional to 2,654.49, 3,983.12 and 1,483.77 is: 2,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.49 : 3,983.12 = 1,483.77 : x
  2. Step 2: Convert to fraction form
    2,654.49/3,983.12 = 1,483.77/x
  3. Step 3: Cross multiply
    2,654.49x = 3,983.12 × 1,483.77
  4. Step 4: Simplify right side
    2,654.49x = 5,910,026.54
  5. Step 5: Solve for x
    x = 5,910,026.54/2,654.49
  6. Step 6: Final answer
    x = 2,226.43

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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.