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Finding the Fourth Proportional to 1,689.21, 2,331 and 943.13

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Solution

The fourth proportional to 1,689.21, 2,331 and 943.13 is: 1,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.21 : 2,331 = 943.13 : x
  2. Step 2: Convert to fraction form
    1,689.21/2,331 = 943.13/x
  3. Step 3: Cross multiply
    1,689.21x = 2,331 × 943.13
  4. Step 4: Simplify right side
    1,689.21x = 2,198,441.86
  5. Step 5: Solve for x
    x = 2,198,441.86/1,689.21
  6. Step 6: Final answer
    x = 1,301.46

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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.