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Finding the Fourth Proportional to 2,817.87, 4,218.30 and 2,036.63

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Solution

The fourth proportional to 2,817.87, 4,218.30 and 2,036.63 is: 3,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.87 : 4,218.30 = 2,036.63 : x
  2. Step 2: Convert to fraction form
    2,817.87/4,218.30 = 2,036.63/x
  3. Step 3: Cross multiply
    2,817.87x = 4,218.30 × 2,036.63
  4. Step 4: Simplify right side
    2,817.87x = 8,591,095.24
  5. Step 5: Solve for x
    x = 8,591,095.24/2,817.87
  6. Step 6: Final answer
    x = 3,048.79

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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.