Home / 2,384.26-3,577.30-923.09

Finding the Fourth Proportional to 2,384.26, 3,577.30 and 923.09

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Solution

The fourth proportional to 2,384.26, 3,577.30 and 923.09 is: 1,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.26 : 3,577.30 = 923.09 : x
  2. Step 2: Convert to fraction form
    2,384.26/3,577.30 = 923.09/x
  3. Step 3: Cross multiply
    2,384.26x = 3,577.30 × 923.09
  4. Step 4: Simplify right side
    2,384.26x = 3,302,149.66
  5. Step 5: Solve for x
    x = 3,302,149.66/2,384.26
  6. Step 6: Final answer
    x = 1,384.98

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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.