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Finding the Fourth Proportional to 2,559.90, 3,835.92 and 1,517.82

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Solution

The fourth proportional to 2,559.90, 3,835.92 and 1,517.82 is: 2,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.90 : 3,835.92 = 1,517.82 : x
  2. Step 2: Convert to fraction form
    2,559.90/3,835.92 = 1,517.82/x
  3. Step 3: Cross multiply
    2,559.90x = 3,835.92 × 1,517.82
  4. Step 4: Simplify right side
    2,559.90x = 5,822,236.09
  5. Step 5: Solve for x
    x = 5,822,236.09/2,559.90
  6. Step 6: Final answer
    x = 2,274.40

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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.