Home / 4,232.24-6,345.24-1,634

Finding the Fourth Proportional to 4,232.24, 6,345.24 and 1,634

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Solution

The fourth proportional to 4,232.24, 6,345.24 and 1,634 is: 2,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.24 : 6,345.24 = 1,634 : x
  2. Step 2: Convert to fraction form
    4,232.24/6,345.24 = 1,634/x
  3. Step 3: Cross multiply
    4,232.24x = 6,345.24 × 1,634
  4. Step 4: Simplify right side
    4,232.24x = 10,368,122.16
  5. Step 5: Solve for x
    x = 10,368,122.16/4,232.24
  6. Step 6: Final answer
    x = 2,449.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.