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Finding the Fourth Proportional to 2,708.59, 4,057.35 and 2,268.59

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Solution

The fourth proportional to 2,708.59, 4,057.35 and 2,268.59 is: 3,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.59 : 4,057.35 = 2,268.59 : x
  2. Step 2: Convert to fraction form
    2,708.59/4,057.35 = 2,268.59/x
  3. Step 3: Cross multiply
    2,708.59x = 4,057.35 × 2,268.59
  4. Step 4: Simplify right side
    2,708.59x = 9,204,455.81
  5. Step 5: Solve for x
    x = 9,204,455.81/2,708.59
  6. Step 6: Final answer
    x = 3,398.25

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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.