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Finding the Fourth Proportional to 2,065.10, 3,096.84 and 678.11

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Solution

The fourth proportional to 2,065.10, 3,096.84 and 678.11 is: 1,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.10 : 3,096.84 = 678.11 : x
  2. Step 2: Convert to fraction form
    2,065.10/3,096.84 = 678.11/x
  3. Step 3: Cross multiply
    2,065.10x = 3,096.84 × 678.11
  4. Step 4: Simplify right side
    2,065.10x = 2,099,998.17
  5. Step 5: Solve for x
    x = 2,099,998.17/2,065.10
  6. Step 6: Final answer
    x = 1,016.90

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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.