Home / 2,310.30-3,464.64-849.06

Finding the Fourth Proportional to 2,310.30, 3,464.64 and 849.06

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Solution

The fourth proportional to 2,310.30, 3,464.64 and 849.06 is: 1,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.30 : 3,464.64 = 849.06 : x
  2. Step 2: Convert to fraction form
    2,310.30/3,464.64 = 849.06/x
  3. Step 3: Cross multiply
    2,310.30x = 3,464.64 × 849.06
  4. Step 4: Simplify right side
    2,310.30x = 2,941,687.24
  5. Step 5: Solve for x
    x = 2,941,687.24/2,310.30
  6. Step 6: Final answer
    x = 1,273.29

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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.