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Finding the Fourth Proportional to 1,921.98, 2,654.28 and 1,655.88

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Solution

The fourth proportional to 1,921.98, 2,654.28 and 1,655.88 is: 2,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.98 : 2,654.28 = 1,655.88 : x
  2. Step 2: Convert to fraction form
    1,921.98/2,654.28 = 1,655.88/x
  3. Step 3: Cross multiply
    1,921.98x = 2,654.28 × 1,655.88
  4. Step 4: Simplify right side
    1,921.98x = 4,395,169.17
  5. Step 5: Solve for x
    x = 4,395,169.17/1,921.98
  6. Step 6: Final answer
    x = 2,286.79

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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.