Home / 2,287.10-3,429.96-826.08

Finding the Fourth Proportional to 2,287.10, 3,429.96 and 826.08

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Solution

The fourth proportional to 2,287.10, 3,429.96 and 826.08 is: 1,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.10 : 3,429.96 = 826.08 : x
  2. Step 2: Convert to fraction form
    2,287.10/3,429.96 = 826.08/x
  3. Step 3: Cross multiply
    2,287.10x = 3,429.96 × 826.08
  4. Step 4: Simplify right side
    2,287.10x = 2,833,421.36
  5. Step 5: Solve for x
    x = 2,833,421.36/2,287.10
  6. Step 6: Final answer
    x = 1,238.87

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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.