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Finding the Fourth Proportional to 1,689.13, 2,330.92 and 943.08

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Solution

The fourth proportional to 1,689.13, 2,330.92 and 943.08 is: 1,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.13 : 2,330.92 = 943.08 : x
  2. Step 2: Convert to fraction form
    1,689.13/2,330.92 = 943.08/x
  3. Step 3: Cross multiply
    1,689.13x = 2,330.92 × 943.08
  4. Step 4: Simplify right side
    1,689.13x = 2,198,244.03
  5. Step 5: Solve for x
    x = 2,198,244.03/1,689.13
  6. Step 6: Final answer
    x = 1,301.41

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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.