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Finding the Fourth Proportional to 2,564.31, 3,536.41 and 1,679.79

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Solution

The fourth proportional to 2,564.31, 3,536.41 and 1,679.79 is: 2,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.31 : 3,536.41 = 1,679.79 : x
  2. Step 2: Convert to fraction form
    2,564.31/3,536.41 = 1,679.79/x
  3. Step 3: Cross multiply
    2,564.31x = 3,536.41 × 1,679.79
  4. Step 4: Simplify right side
    2,564.31x = 5,940,426.15
  5. Step 5: Solve for x
    x = 5,940,426.15/2,564.31
  6. Step 6: Final answer
    x = 2,316.58

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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.