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Finding the Fourth Proportional to 2,654.94, 3,665.97 and 2,374.68

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Solution

The fourth proportional to 2,654.94, 3,665.97 and 2,374.68 is: 3,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.94 : 3,665.97 = 2,374.68 : x
  2. Step 2: Convert to fraction form
    2,654.94/3,665.97 = 2,374.68/x
  3. Step 3: Cross multiply
    2,654.94x = 3,665.97 × 2,374.68
  4. Step 4: Simplify right side
    2,654.94x = 8,705,505.64
  5. Step 5: Solve for x
    x = 8,705,505.64/2,654.94
  6. Step 6: Final answer
    x = 3,278.98

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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.