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Finding the Fourth Proportional to 2,538.63, 3,809.57 and 1,239.39

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Solution

The fourth proportional to 2,538.63, 3,809.57 and 1,239.39 is: 1,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.63 : 3,809.57 = 1,239.39 : x
  2. Step 2: Convert to fraction form
    2,538.63/3,809.57 = 1,239.39/x
  3. Step 3: Cross multiply
    2,538.63x = 3,809.57 × 1,239.39
  4. Step 4: Simplify right side
    2,538.63x = 4,721,542.96
  5. Step 5: Solve for x
    x = 4,721,542.96/2,538.63
  6. Step 6: Final answer
    x = 1,859.88

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