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Finding the Fourth Proportional to 2,654.43, 3,663.90 and 1,659.12

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Solution

The fourth proportional to 2,654.43, 3,663.90 and 1,659.12 is: 2,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.43 : 3,663.90 = 1,659.12 : x
  2. Step 2: Convert to fraction form
    2,654.43/3,663.90 = 1,659.12/x
  3. Step 3: Cross multiply
    2,654.43x = 3,663.90 × 1,659.12
  4. Step 4: Simplify right side
    2,654.43x = 6,078,849.77
  5. Step 5: Solve for x
    x = 6,078,849.77/2,654.43
  6. Step 6: Final answer
    x = 2,290.08

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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.