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Finding the Fourth Proportional to 2,047.52, 3,071.05 and 731.22

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Solution

The fourth proportional to 2,047.52, 3,071.05 and 731.22 is: 1,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.52 : 3,071.05 = 731.22 : x
  2. Step 2: Convert to fraction form
    2,047.52/3,071.05 = 731.22/x
  3. Step 3: Cross multiply
    2,047.52x = 3,071.05 × 731.22
  4. Step 4: Simplify right side
    2,047.52x = 2,245,613.18
  5. Step 5: Solve for x
    x = 2,245,613.18/2,047.52
  6. Step 6: Final answer
    x = 1,096.75

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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.