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Finding the Fourth Proportional to 1,992.59, 2,750.52 and 1,711.70

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Solution

The fourth proportional to 1,992.59, 2,750.52 and 1,711.70 is: 2,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.59 : 2,750.52 = 1,711.70 : x
  2. Step 2: Convert to fraction form
    1,992.59/2,750.52 = 1,711.70/x
  3. Step 3: Cross multiply
    1,992.59x = 2,750.52 × 1,711.70
  4. Step 4: Simplify right side
    1,992.59x = 4,708,051.33
  5. Step 5: Solve for x
    x = 4,708,051.33/1,992.59
  6. Step 6: Final answer
    x = 2,362.78

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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.