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Finding the Fourth Proportional to 2,093.78, 2,888.43 and 1,431.56

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Solution

The fourth proportional to 2,093.78, 2,888.43 and 1,431.56 is: 1,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.78 : 2,888.43 = 1,431.56 : x
  2. Step 2: Convert to fraction form
    2,093.78/2,888.43 = 1,431.56/x
  3. Step 3: Cross multiply
    2,093.78x = 2,888.43 × 1,431.56
  4. Step 4: Simplify right side
    2,093.78x = 4,134,960.85
  5. Step 5: Solve for x
    x = 4,134,960.85/2,093.78
  6. Step 6: Final answer
    x = 1,974.88

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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.