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Finding the Fourth Proportional to 2,696.73, 4,042.68 and 964.95

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Solution

The fourth proportional to 2,696.73, 4,042.68 and 964.95 is: 1,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.73 : 4,042.68 = 964.95 : x
  2. Step 2: Convert to fraction form
    2,696.73/4,042.68 = 964.95/x
  3. Step 3: Cross multiply
    2,696.73x = 4,042.68 × 964.95
  4. Step 4: Simplify right side
    2,696.73x = 3,900,984.07
  5. Step 5: Solve for x
    x = 3,900,984.07/2,696.73
  6. Step 6: Final answer
    x = 1,446.56

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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.