Home / 2,125.16-3,184.41-825.92

Finding the Fourth Proportional to 2,125.16, 3,184.41 and 825.92

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Solution

The fourth proportional to 2,125.16, 3,184.41 and 825.92 is: 1,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.16 : 3,184.41 = 825.92 : x
  2. Step 2: Convert to fraction form
    2,125.16/3,184.41 = 825.92/x
  3. Step 3: Cross multiply
    2,125.16x = 3,184.41 × 825.92
  4. Step 4: Simplify right side
    2,125.16x = 2,630,067.91
  5. Step 5: Solve for x
    x = 2,630,067.91/2,125.16
  6. Step 6: Final answer
    x = 1,237.59

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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.