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Finding the Fourth Proportional to 2,160.96, 2,987.43 and 2,141.22

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Solution

The fourth proportional to 2,160.96, 2,987.43 and 2,141.22 is: 2,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.96 : 2,987.43 = 2,141.22 : x
  2. Step 2: Convert to fraction form
    2,160.96/2,987.43 = 2,141.22/x
  3. Step 3: Cross multiply
    2,160.96x = 2,987.43 × 2,141.22
  4. Step 4: Simplify right side
    2,160.96x = 6,396,744.86
  5. Step 5: Solve for x
    x = 6,396,744.86/2,160.96
  6. Step 6: Final answer
    x = 2,960.14

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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.