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Finding the Fourth Proportional to 1,689.43, 2,329.17 and 1,291.33

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Solution

The fourth proportional to 1,689.43, 2,329.17 and 1,291.33 is: 1,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.43 : 2,329.17 = 1,291.33 : x
  2. Step 2: Convert to fraction form
    1,689.43/2,329.17 = 1,291.33/x
  3. Step 3: Cross multiply
    1,689.43x = 2,329.17 × 1,291.33
  4. Step 4: Simplify right side
    1,689.43x = 3,007,727.10
  5. Step 5: Solve for x
    x = 3,007,727.10/1,689.43
  6. Step 6: Final answer
    x = 1,780.32

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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.