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Finding the Fourth Proportional to 2,784.37, 3,842.37 and 1,525.37

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Solution

The fourth proportional to 2,784.37, 3,842.37 and 1,525.37 is: 2,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.37 : 3,842.37 = 1,525.37 : x
  2. Step 2: Convert to fraction form
    2,784.37/3,842.37 = 1,525.37/x
  3. Step 3: Cross multiply
    2,784.37x = 3,842.37 × 1,525.37
  4. Step 4: Simplify right side
    2,784.37x = 5,861,016.72
  5. Step 5: Solve for x
    x = 5,861,016.72/2,784.37
  6. Step 6: Final answer
    x = 2,104.97

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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.