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Finding the Fourth Proportional to 2,124.32, 3,185.87 and 825.48

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Solution

The fourth proportional to 2,124.32, 3,185.87 and 825.48 is: 1,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.32 : 3,185.87 = 825.48 : x
  2. Step 2: Convert to fraction form
    2,124.32/3,185.87 = 825.48/x
  3. Step 3: Cross multiply
    2,124.32x = 3,185.87 × 825.48
  4. Step 4: Simplify right side
    2,124.32x = 2,629,867.84
  5. Step 5: Solve for x
    x = 2,629,867.84/2,124.32
  6. Step 6: Final answer
    x = 1,237.98

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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.