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Finding the Fourth Proportional to 2,654.30, 3,662.54 and 1,591.82

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Solution

The fourth proportional to 2,654.30, 3,662.54 and 1,591.82 is: 2,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.30 : 3,662.54 = 1,591.82 : x
  2. Step 2: Convert to fraction form
    2,654.30/3,662.54 = 1,591.82/x
  3. Step 3: Cross multiply
    2,654.30x = 3,662.54 × 1,591.82
  4. Step 4: Simplify right side
    2,654.30x = 5,830,104.42
  5. Step 5: Solve for x
    x = 5,830,104.42/2,654.30
  6. Step 6: Final answer
    x = 2,196.48

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