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Finding the Fourth Proportional to 2,250.97, 3,376.59 and 952

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Solution

The fourth proportional to 2,250.97, 3,376.59 and 952 is: 1,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.97 : 3,376.59 = 952 : x
  2. Step 2: Convert to fraction form
    2,250.97/3,376.59 = 952/x
  3. Step 3: Cross multiply
    2,250.97x = 3,376.59 × 952
  4. Step 4: Simplify right side
    2,250.97x = 3,214,513.68
  5. Step 5: Solve for x
    x = 3,214,513.68/2,250.97
  6. Step 6: Final answer
    x = 1,428.06

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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.