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Finding the Fourth Proportional to 3,311.74, 4,570.27 and 1,819.75

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Solution

The fourth proportional to 3,311.74, 4,570.27 and 1,819.75 is: 2,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.74 : 4,570.27 = 1,819.75 : x
  2. Step 2: Convert to fraction form
    3,311.74/4,570.27 = 1,819.75/x
  3. Step 3: Cross multiply
    3,311.74x = 4,570.27 × 1,819.75
  4. Step 4: Simplify right side
    3,311.74x = 8,316,748.83
  5. Step 5: Solve for x
    x = 8,316,748.83/3,311.74
  6. Step 6: Final answer
    x = 2,511.29

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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.