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Finding the Fourth Proportional to 2,093.50, 2,884.27 and 1,619.76

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Solution

The fourth proportional to 2,093.50, 2,884.27 and 1,619.76 is: 2,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.50 : 2,884.27 = 1,619.76 : x
  2. Step 2: Convert to fraction form
    2,093.50/2,884.27 = 1,619.76/x
  3. Step 3: Cross multiply
    2,093.50x = 2,884.27 × 1,619.76
  4. Step 4: Simplify right side
    2,093.50x = 4,671,825.18
  5. Step 5: Solve for x
    x = 4,671,825.18/2,093.50
  6. Step 6: Final answer
    x = 2,231.59

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