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Finding the Fourth Proportional to 3,071.14, 4,605.02 and 1,096.45

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Solution

The fourth proportional to 3,071.14, 4,605.02 and 1,096.45 is: 1,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.14 : 4,605.02 = 1,096.45 : x
  2. Step 2: Convert to fraction form
    3,071.14/4,605.02 = 1,096.45/x
  3. Step 3: Cross multiply
    3,071.14x = 4,605.02 × 1,096.45
  4. Step 4: Simplify right side
    3,071.14x = 5,049,168.70
  5. Step 5: Solve for x
    x = 5,049,168.70/3,071.14
  6. Step 6: Final answer
    x = 1,644.07

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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.