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Finding the Fourth Proportional to 3,096.62, 4,645.58 and 1,016.46

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Solution

The fourth proportional to 3,096.62, 4,645.58 and 1,016.46 is: 1,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.62 : 4,645.58 = 1,016.46 : x
  2. Step 2: Convert to fraction form
    3,096.62/4,645.58 = 1,016.46/x
  3. Step 3: Cross multiply
    3,096.62x = 4,645.58 × 1,016.46
  4. Step 4: Simplify right side
    3,096.62x = 4,722,041.16
  5. Step 5: Solve for x
    x = 4,722,041.16/3,096.62
  6. Step 6: Final answer
    x = 1,524.90

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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.