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Finding the Fourth Proportional to 1,884.88, 2,827.23 and 908.02

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Solution

The fourth proportional to 1,884.88, 2,827.23 and 908.02 is: 1,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.88 : 2,827.23 = 908.02 : x
  2. Step 2: Convert to fraction form
    1,884.88/2,827.23 = 908.02/x
  3. Step 3: Cross multiply
    1,884.88x = 2,827.23 × 908.02
  4. Step 4: Simplify right side
    1,884.88x = 2,567,181.38
  5. Step 5: Solve for x
    x = 2,567,181.38/1,884.88
  6. Step 6: Final answer
    x = 1,361.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.