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Finding the Fourth Proportional to 2,559.72, 3,842.58 and 1,329.48

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Solution

The fourth proportional to 2,559.72, 3,842.58 and 1,329.48 is: 1,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.72 : 3,842.58 = 1,329.48 : x
  2. Step 2: Convert to fraction form
    2,559.72/3,842.58 = 1,329.48/x
  3. Step 3: Cross multiply
    2,559.72x = 3,842.58 × 1,329.48
  4. Step 4: Simplify right side
    2,559.72x = 5,108,633.26
  5. Step 5: Solve for x
    x = 5,108,633.26/2,559.72
  6. Step 6: Final answer
    x = 1,995.78

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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.