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Finding the Fourth Proportional to 2,654.63, 3,660.82 and 1,757.96

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Solution

The fourth proportional to 2,654.63, 3,660.82 and 1,757.96 is: 2,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.63 : 3,660.82 = 1,757.96 : x
  2. Step 2: Convert to fraction form
    2,654.63/3,660.82 = 1,757.96/x
  3. Step 3: Cross multiply
    2,654.63x = 3,660.82 × 1,757.96
  4. Step 4: Simplify right side
    2,654.63x = 6,435,575.13
  5. Step 5: Solve for x
    x = 6,435,575.13/2,654.63
  6. Step 6: Final answer
    x = 2,424.28

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Why These Related Problems?

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