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Finding the Fourth Proportional to 2,814.94, 4,223.22 and 1,428.22

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Solution

The fourth proportional to 2,814.94, 4,223.22 and 1,428.22 is: 2,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.94 : 4,223.22 = 1,428.22 : x
  2. Step 2: Convert to fraction form
    2,814.94/4,223.22 = 1,428.22/x
  3. Step 3: Cross multiply
    2,814.94x = 4,223.22 × 1,428.22
  4. Step 4: Simplify right side
    2,814.94x = 6,031,687.27
  5. Step 5: Solve for x
    x = 6,031,687.27/2,814.94
  6. Step 6: Final answer
    x = 2,142.74

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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.