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Finding the Fourth Proportional to 2,047.41, 3,071.42 and 731.06

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Solution

The fourth proportional to 2,047.41, 3,071.42 and 731.06 is: 1,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.41 : 3,071.42 = 731.06 : x
  2. Step 2: Convert to fraction form
    2,047.41/3,071.42 = 731.06/x
  3. Step 3: Cross multiply
    2,047.41x = 3,071.42 × 731.06
  4. Step 4: Simplify right side
    2,047.41x = 2,245,387.55
  5. Step 5: Solve for x
    x = 2,245,387.55/2,047.41
  6. Step 6: Final answer
    x = 1,096.70

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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.