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Finding the Fourth Proportional to 3,096.62, 4,643.40 and 1,016.24

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Solution

The fourth proportional to 3,096.62, 4,643.40 and 1,016.24 is: 1,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.62 : 4,643.40 = 1,016.24 : x
  2. Step 2: Convert to fraction form
    3,096.62/4,643.40 = 1,016.24/x
  3. Step 3: Cross multiply
    3,096.62x = 4,643.40 × 1,016.24
  4. Step 4: Simplify right side
    3,096.62x = 4,718,808.82
  5. Step 5: Solve for x
    x = 4,718,808.82/3,096.62
  6. Step 6: Final answer
    x = 1,523.86

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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.