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Finding the Fourth Proportional to 2,696.66, 4,016.52 and 2,576.71

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Solution

The fourth proportional to 2,696.66, 4,016.52 and 2,576.71 is: 3,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.66 : 4,016.52 = 2,576.71 : x
  2. Step 2: Convert to fraction form
    2,696.66/4,016.52 = 2,576.71/x
  3. Step 3: Cross multiply
    2,696.66x = 4,016.52 × 2,576.71
  4. Step 4: Simplify right side
    2,696.66x = 10,349,387.17
  5. Step 5: Solve for x
    x = 10,349,387.17/2,696.66
  6. Step 6: Final answer
    x = 3,837.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.