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Finding the Fourth Proportional to 1,589.73, 2,191.37 and 1,294.49

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Solution

The fourth proportional to 1,589.73, 2,191.37 and 1,294.49 is: 1,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.73 : 2,191.37 = 1,294.49 : x
  2. Step 2: Convert to fraction form
    1,589.73/2,191.37 = 1,294.49/x
  3. Step 3: Cross multiply
    1,589.73x = 2,191.37 × 1,294.49
  4. Step 4: Simplify right side
    1,589.73x = 2,836,689.12
  5. Step 5: Solve for x
    x = 2,836,689.12/1,589.73
  6. Step 6: Final answer
    x = 1,784.38

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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.