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Finding the Fourth Proportional to 2,252.39, 3,375.71 and 952.07

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Solution

The fourth proportional to 2,252.39, 3,375.71 and 952.07 is: 1,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.39 : 3,375.71 = 952.07 : x
  2. Step 2: Convert to fraction form
    2,252.39/3,375.71 = 952.07/x
  3. Step 3: Cross multiply
    2,252.39x = 3,375.71 × 952.07
  4. Step 4: Simplify right side
    2,252.39x = 3,213,907.46
  5. Step 5: Solve for x
    x = 3,213,907.46/2,252.39
  6. Step 6: Final answer
    x = 1,426.89

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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.