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Finding the Fourth Proportional to 2,161.57, 2,983.81 and 1,689.62

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Solution

The fourth proportional to 2,161.57, 2,983.81 and 1,689.62 is: 2,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.57 : 2,983.81 = 1,689.62 : x
  2. Step 2: Convert to fraction form
    2,161.57/2,983.81 = 1,689.62/x
  3. Step 3: Cross multiply
    2,161.57x = 2,983.81 × 1,689.62
  4. Step 4: Simplify right side
    2,161.57x = 5,041,485.91
  5. Step 5: Solve for x
    x = 5,041,485.91/2,161.57
  6. Step 6: Final answer
    x = 2,332.33

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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.