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Finding the Fourth Proportional to 2,654.71, 3,982.88 and 1,357.09

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Solution

The fourth proportional to 2,654.71, 3,982.88 and 1,357.09 is: 2,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.71 : 3,982.88 = 1,357.09 : x
  2. Step 2: Convert to fraction form
    2,654.71/3,982.88 = 1,357.09/x
  3. Step 3: Cross multiply
    2,654.71x = 3,982.88 × 1,357.09
  4. Step 4: Simplify right side
    2,654.71x = 5,405,119.83
  5. Step 5: Solve for x
    x = 5,405,119.83/2,654.71
  6. Step 6: Final answer
    x = 2,036.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.