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Finding the Fourth Proportional to 2,559.69, 3,841.29 and 1,586.34

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Solution

The fourth proportional to 2,559.69, 3,841.29 and 1,586.34 is: 2,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.69 : 3,841.29 = 1,586.34 : x
  2. Step 2: Convert to fraction form
    2,559.69/3,841.29 = 1,586.34/x
  3. Step 3: Cross multiply
    2,559.69x = 3,841.29 × 1,586.34
  4. Step 4: Simplify right side
    2,559.69x = 6,093,591.98
  5. Step 5: Solve for x
    x = 6,093,591.98/2,559.69
  6. Step 6: Final answer
    x = 2,380.60

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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.