Home / 1,576.34-2,364.48-422.09

Finding the Fourth Proportional to 1,576.34, 2,364.48 and 422.09

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Solution

The fourth proportional to 1,576.34, 2,364.48 and 422.09 is: 633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.34 : 2,364.48 = 422.09 : x
  2. Step 2: Convert to fraction form
    1,576.34/2,364.48 = 422.09/x
  3. Step 3: Cross multiply
    1,576.34x = 2,364.48 × 422.09
  4. Step 4: Simplify right side
    1,576.34x = 998,023.36
  5. Step 5: Solve for x
    x = 998,023.36/1,576.34
  6. Step 6: Final answer
    x = 633.13

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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.