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Finding the Fourth Proportional to 2,814.76, 4,218.72 and 2,119.18

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Solution

The fourth proportional to 2,814.76, 4,218.72 and 2,119.18 is: 3,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.76 : 4,218.72 = 2,119.18 : x
  2. Step 2: Convert to fraction form
    2,814.76/4,218.72 = 2,119.18/x
  3. Step 3: Cross multiply
    2,814.76x = 4,218.72 × 2,119.18
  4. Step 4: Simplify right side
    2,814.76x = 8,940,227.05
  5. Step 5: Solve for x
    x = 8,940,227.05/2,814.76
  6. Step 6: Final answer
    x = 3,176.20

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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.