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Finding the Fourth Proportional to 2,811.90, 4,219.08 and 1,511.84

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Solution

The fourth proportional to 2,811.90, 4,219.08 and 1,511.84 is: 2,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.90 : 4,219.08 = 1,511.84 : x
  2. Step 2: Convert to fraction form
    2,811.90/4,219.08 = 1,511.84/x
  3. Step 3: Cross multiply
    2,811.90x = 4,219.08 × 1,511.84
  4. Step 4: Simplify right side
    2,811.90x = 6,378,573.91
  5. Step 5: Solve for x
    x = 6,378,573.91/2,811.90
  6. Step 6: Final answer
    x = 2,268.42

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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.