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Finding the Fourth Proportional to 2,782.36, 3,839.64 and 1,523.41

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Solution

The fourth proportional to 2,782.36, 3,839.64 and 1,523.41 is: 2,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.36 : 3,839.64 = 1,523.41 : x
  2. Step 2: Convert to fraction form
    2,782.36/3,839.64 = 1,523.41/x
  3. Step 3: Cross multiply
    2,782.36x = 3,839.64 × 1,523.41
  4. Step 4: Simplify right side
    2,782.36x = 5,849,345.97
  5. Step 5: Solve for x
    x = 5,849,345.97/2,782.36
  6. Step 6: Final answer
    x = 2,102.30

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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.