Home / 2,125.10-3,186.43-825.05

Finding the Fourth Proportional to 2,125.10, 3,186.43 and 825.05

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Solution

The fourth proportional to 2,125.10, 3,186.43 and 825.05 is: 1,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.10 : 3,186.43 = 825.05 : x
  2. Step 2: Convert to fraction form
    2,125.10/3,186.43 = 825.05/x
  3. Step 3: Cross multiply
    2,125.10x = 3,186.43 × 825.05
  4. Step 4: Simplify right side
    2,125.10x = 2,628,964.07
  5. Step 5: Solve for x
    x = 2,628,964.07/2,125.10
  6. Step 6: Final answer
    x = 1,237.10

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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.