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Finding the Fourth Proportional to 2,091.25, 3,137.09 and 552.25

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Solution

The fourth proportional to 2,091.25, 3,137.09 and 552.25 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.25 : 3,137.09 = 552.25 : x
  2. Step 2: Convert to fraction form
    2,091.25/3,137.09 = 552.25/x
  3. Step 3: Cross multiply
    2,091.25x = 3,137.09 × 552.25
  4. Step 4: Simplify right side
    2,091.25x = 1,732,457.95
  5. Step 5: Solve for x
    x = 1,732,457.95/2,091.25
  6. Step 6: Final answer
    x = 828.43

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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.