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Finding the Fourth Proportional to 1,922.46, 2,884.13 and 811.25

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Solution

The fourth proportional to 1,922.46, 2,884.13 and 811.25 is: 1,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.46 : 2,884.13 = 811.25 : x
  2. Step 2: Convert to fraction form
    1,922.46/2,884.13 = 811.25/x
  3. Step 3: Cross multiply
    1,922.46x = 2,884.13 × 811.25
  4. Step 4: Simplify right side
    1,922.46x = 2,339,731.99
  5. Step 5: Solve for x
    x = 2,339,731.99/1,922.46
  6. Step 6: Final answer
    x = 1,217.05

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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.