Home / 2,462.24-3,694.16-1,643.84

Finding the Fourth Proportional to 2,462.24, 3,694.16 and 1,643.84

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Solution

The fourth proportional to 2,462.24, 3,694.16 and 1,643.84 is: 2,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.24 : 3,694.16 = 1,643.84 : x
  2. Step 2: Convert to fraction form
    2,462.24/3,694.16 = 1,643.84/x
  3. Step 3: Cross multiply
    2,462.24x = 3,694.16 × 1,643.84
  4. Step 4: Simplify right side
    2,462.24x = 6,072,607.97
  5. Step 5: Solve for x
    x = 6,072,607.97/2,462.24
  6. Step 6: Final answer
    x = 2,466.29

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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.