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Finding the Fourth Proportional to 2,161.22, 2,984.04 and 1,689.66

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Solution

The fourth proportional to 2,161.22, 2,984.04 and 1,689.66 is: 2,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.22 : 2,984.04 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    2,161.22/2,984.04 = 1,689.66/x
  3. Step 3: Cross multiply
    2,161.22x = 2,984.04 × 1,689.66
  4. Step 4: Simplify right side
    2,161.22x = 5,042,013.03
  5. Step 5: Solve for x
    x = 5,042,013.03/2,161.22
  6. Step 6: Final answer
    x = 2,332.95

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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.