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Finding the Fourth Proportional to 2,814.56, 4,222.98 and 1,355

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Solution

The fourth proportional to 2,814.56, 4,222.98 and 1,355 is: 2,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.56 : 4,222.98 = 1,355 : x
  2. Step 2: Convert to fraction form
    2,814.56/4,222.98 = 1,355/x
  3. Step 3: Cross multiply
    2,814.56x = 4,222.98 × 1,355
  4. Step 4: Simplify right side
    2,814.56x = 5,722,137.90
  5. Step 5: Solve for x
    x = 5,722,137.90/2,814.56
  6. Step 6: Final answer
    x = 2,033.05

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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.