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Finding the Fourth Proportional to 2,616.96, 3,943.43 and 2,164.91

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Solution

The fourth proportional to 2,616.96, 3,943.43 and 2,164.91 is: 3,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.96 : 3,943.43 = 2,164.91 : x
  2. Step 2: Convert to fraction form
    2,616.96/3,943.43 = 2,164.91/x
  3. Step 3: Cross multiply
    2,616.96x = 3,943.43 × 2,164.91
  4. Step 4: Simplify right side
    2,616.96x = 8,537,171.04
  5. Step 5: Solve for x
    x = 8,537,171.04/2,616.96
  6. Step 6: Final answer
    x = 3,262.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.