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Finding the Fourth Proportional to 2,161.56, 2,988.26 and 2,141.82

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Solution

The fourth proportional to 2,161.56, 2,988.26 and 2,141.82 is: 2,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.56 : 2,988.26 = 2,141.82 : x
  2. Step 2: Convert to fraction form
    2,161.56/2,988.26 = 2,141.82/x
  3. Step 3: Cross multiply
    2,161.56x = 2,988.26 × 2,141.82
  4. Step 4: Simplify right side
    2,161.56x = 6,400,304.32
  5. Step 5: Solve for x
    x = 6,400,304.32/2,161.56
  6. Step 6: Final answer
    x = 2,960.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.