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Finding the Fourth Proportional to 2,096.78, 3,144.45 and 615.61

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Solution

The fourth proportional to 2,096.78, 3,144.45 and 615.61 is: 923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.78 : 3,144.45 = 615.61 : x
  2. Step 2: Convert to fraction form
    2,096.78/3,144.45 = 615.61/x
  3. Step 3: Cross multiply
    2,096.78x = 3,144.45 × 615.61
  4. Step 4: Simplify right side
    2,096.78x = 1,935,754.86
  5. Step 5: Solve for x
    x = 1,935,754.86/2,096.78
  6. Step 6: Final answer
    x = 923.20

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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.