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Finding the Fourth Proportional to 2,046.85, 3,071.18 and 1,072.72

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Solution

The fourth proportional to 2,046.85, 3,071.18 and 1,072.72 is: 1,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.85 : 3,071.18 = 1,072.72 : x
  2. Step 2: Convert to fraction form
    2,046.85/3,071.18 = 1,072.72/x
  3. Step 3: Cross multiply
    2,046.85x = 3,071.18 × 1,072.72
  4. Step 4: Simplify right side
    2,046.85x = 3,294,516.21
  5. Step 5: Solve for x
    x = 3,294,516.21/2,046.85
  6. Step 6: Final answer
    x = 1,609.55

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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.