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Finding the Fourth Proportional to 1,693.47, 2,540.24 and 523.47

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Solution

The fourth proportional to 1,693.47, 2,540.24 and 523.47 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.47 : 2,540.24 = 523.47 : x
  2. Step 2: Convert to fraction form
    1,693.47/2,540.24 = 523.47/x
  3. Step 3: Cross multiply
    1,693.47x = 2,540.24 × 523.47
  4. Step 4: Simplify right side
    1,693.47x = 1,329,739.43
  5. Step 5: Solve for x
    x = 1,329,739.43/1,693.47
  6. Step 6: Final answer
    x = 785.22

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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.