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Finding the Fourth Proportional to 1,689.20, 2,331.20 and 943.19

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Solution

The fourth proportional to 1,689.20, 2,331.20 and 943.19 is: 1,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.20 : 2,331.20 = 943.19 : x
  2. Step 2: Convert to fraction form
    1,689.20/2,331.20 = 943.19/x
  3. Step 3: Cross multiply
    1,689.20x = 2,331.20 × 943.19
  4. Step 4: Simplify right side
    1,689.20x = 2,198,759.81
  5. Step 5: Solve for x
    x = 2,198,759.81/1,689.20
  6. Step 6: Final answer
    x = 1,301.66

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Why These Related Problems?

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