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Finding the Fourth Proportional to 1,992.25, 2,988.76 and 952.34

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Solution

The fourth proportional to 1,992.25, 2,988.76 and 952.34 is: 1,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.25 : 2,988.76 = 952.34 : x
  2. Step 2: Convert to fraction form
    1,992.25/2,988.76 = 952.34/x
  3. Step 3: Cross multiply
    1,992.25x = 2,988.76 × 952.34
  4. Step 4: Simplify right side
    1,992.25x = 2,846,315.70
  5. Step 5: Solve for x
    x = 2,846,315.70/1,992.25
  6. Step 6: Final answer
    x = 1,428.69

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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.