Home / 2,832.09-4,246.57-983.04

Finding the Fourth Proportional to 2,832.09, 4,246.57 and 983.04

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Solution

The fourth proportional to 2,832.09, 4,246.57 and 983.04 is: 1,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.09 : 4,246.57 = 983.04 : x
  2. Step 2: Convert to fraction form
    2,832.09/4,246.57 = 983.04/x
  3. Step 3: Cross multiply
    2,832.09x = 4,246.57 × 983.04
  4. Step 4: Simplify right side
    2,832.09x = 4,174,548.17
  5. Step 5: Solve for x
    x = 4,174,548.17/2,832.09
  6. Step 6: Final answer
    x = 1,474.02

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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.