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Finding the Fourth Proportional to 1,992.70, 2,749.17 and 1,284.40

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Solution

The fourth proportional to 1,992.70, 2,749.17 and 1,284.40 is: 1,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.70 : 2,749.17 = 1,284.40 : x
  2. Step 2: Convert to fraction form
    1,992.70/2,749.17 = 1,284.40/x
  3. Step 3: Cross multiply
    1,992.70x = 2,749.17 × 1,284.40
  4. Step 4: Simplify right side
    1,992.70x = 3,531,033.95
  5. Step 5: Solve for x
    x = 3,531,033.95/1,992.70
  6. Step 6: Final answer
    x = 1,771.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.