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Finding the Fourth Proportional to 2,707.36, 4,042.96 and 2,568.96

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Solution

The fourth proportional to 2,707.36, 4,042.96 and 2,568.96 is: 3,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.36 : 4,042.96 = 2,568.96 : x
  2. Step 2: Convert to fraction form
    2,707.36/4,042.96 = 2,568.96/x
  3. Step 3: Cross multiply
    2,707.36x = 4,042.96 × 2,568.96
  4. Step 4: Simplify right side
    2,707.36x = 10,386,196.10
  5. Step 5: Solve for x
    x = 10,386,196.10/2,707.36
  6. Step 6: Final answer
    x = 3,836.29

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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.