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Finding the Fourth Proportional to 2,731.57, 4,096.74 and 1,087.67

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Solution

The fourth proportional to 2,731.57, 4,096.74 and 1,087.67 is: 1,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.57 : 4,096.74 = 1,087.67 : x
  2. Step 2: Convert to fraction form
    2,731.57/4,096.74 = 1,087.67/x
  3. Step 3: Cross multiply
    2,731.57x = 4,096.74 × 1,087.67
  4. Step 4: Simplify right side
    2,731.57x = 4,455,901.20
  5. Step 5: Solve for x
    x = 4,455,901.20/2,731.57
  6. Step 6: Final answer
    x = 1,631.26

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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.