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Finding the Fourth Proportional to 1,693.82, 2,540.47 and 654.31

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Solution

The fourth proportional to 1,693.82, 2,540.47 and 654.31 is: 981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.82 : 2,540.47 = 654.31 : x
  2. Step 2: Convert to fraction form
    1,693.82/2,540.47 = 654.31/x
  3. Step 3: Cross multiply
    1,693.82x = 2,540.47 × 654.31
  4. Step 4: Simplify right side
    1,693.82x = 1,662,251.65
  5. Step 5: Solve for x
    x = 1,662,251.65/1,693.82
  6. Step 6: Final answer
    x = 981.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.