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Finding the Fourth Proportional to 2,782.41, 3,839.42 and 1,587.44

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Solution

The fourth proportional to 2,782.41, 3,839.42 and 1,587.44 is: 2,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.41 : 3,839.42 = 1,587.44 : x
  2. Step 2: Convert to fraction form
    2,782.41/3,839.42 = 1,587.44/x
  3. Step 3: Cross multiply
    2,782.41x = 3,839.42 × 1,587.44
  4. Step 4: Simplify right side
    2,782.41x = 6,094,821.75
  5. Step 5: Solve for x
    x = 6,094,821.75/2,782.41
  6. Step 6: Final answer
    x = 2,190.48

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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.