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Finding the Fourth Proportional to 2,654.09, 3,661.62 and 1,709.81

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Solution

The fourth proportional to 2,654.09, 3,661.62 and 1,709.81 is: 2,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.09 : 3,661.62 = 1,709.81 : x
  2. Step 2: Convert to fraction form
    2,654.09/3,661.62 = 1,709.81/x
  3. Step 3: Cross multiply
    2,654.09x = 3,661.62 × 1,709.81
  4. Step 4: Simplify right side
    2,654.09x = 6,260,673.12
  5. Step 5: Solve for x
    x = 6,260,673.12/2,654.09
  6. Step 6: Final answer
    x = 2,358.88

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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.