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Finding the Fourth Proportional to 2,125.41, 3,186.89 and 825.36

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Solution

The fourth proportional to 2,125.41, 3,186.89 and 825.36 is: 1,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.41 : 3,186.89 = 825.36 : x
  2. Step 2: Convert to fraction form
    2,125.41/3,186.89 = 825.36/x
  3. Step 3: Cross multiply
    2,125.41x = 3,186.89 × 825.36
  4. Step 4: Simplify right side
    2,125.41x = 2,630,331.53
  5. Step 5: Solve for x
    x = 2,630,331.53/2,125.41
  6. Step 6: Final answer
    x = 1,237.56

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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.