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Finding the Fourth Proportional to 2,784.27, 3,842.39 and 1,525.24

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Solution

The fourth proportional to 2,784.27, 3,842.39 and 1,525.24 is: 2,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.27 : 3,842.39 = 1,525.24 : x
  2. Step 2: Convert to fraction form
    2,784.27/3,842.39 = 1,525.24/x
  3. Step 3: Cross multiply
    2,784.27x = 3,842.39 × 1,525.24
  4. Step 4: Simplify right side
    2,784.27x = 5,860,566.92
  5. Step 5: Solve for x
    x = 5,860,566.92/2,784.27
  6. Step 6: Final answer
    x = 2,104.88

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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.