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Finding the Fourth Proportional to 2,096.34, 3,143.53 and 1,932.18

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Solution

The fourth proportional to 2,096.34, 3,143.53 and 1,932.18 is: 2,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.34 : 3,143.53 = 1,932.18 : x
  2. Step 2: Convert to fraction form
    2,096.34/3,143.53 = 1,932.18/x
  3. Step 3: Cross multiply
    2,096.34x = 3,143.53 × 1,932.18
  4. Step 4: Simplify right side
    2,096.34x = 6,073,865.80
  5. Step 5: Solve for x
    x = 6,073,865.80/2,096.34
  6. Step 6: Final answer
    x = 2,897.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.