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Finding the Fourth Proportional to 1,992.81, 2,987.93 and 952.79

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Solution

The fourth proportional to 1,992.81, 2,987.93 and 952.79 is: 1,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.81 : 2,987.93 = 952.79 : x
  2. Step 2: Convert to fraction form
    1,992.81/2,987.93 = 952.79/x
  3. Step 3: Cross multiply
    1,992.81x = 2,987.93 × 952.79
  4. Step 4: Simplify right side
    1,992.81x = 2,846,865.00
  5. Step 5: Solve for x
    x = 2,846,865.00/1,992.81
  6. Step 6: Final answer
    x = 1,428.57

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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.