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Finding the Fourth Proportional to 2,589.52, 3,571.24 and 1,693.76

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Solution

The fourth proportional to 2,589.52, 3,571.24 and 1,693.76 is: 2,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.52 : 3,571.24 = 1,693.76 : x
  2. Step 2: Convert to fraction form
    2,589.52/3,571.24 = 1,693.76/x
  3. Step 3: Cross multiply
    2,589.52x = 3,571.24 × 1,693.76
  4. Step 4: Simplify right side
    2,589.52x = 6,048,832.39
  5. Step 5: Solve for x
    x = 6,048,832.39/2,589.52
  6. Step 6: Final answer
    x = 2,335.89

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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.