Home / 2,359.24-3,538.68-972.22

Finding the Fourth Proportional to 2,359.24, 3,538.68 and 972.22

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Solution

The fourth proportional to 2,359.24, 3,538.68 and 972.22 is: 1,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.24 : 3,538.68 = 972.22 : x
  2. Step 2: Convert to fraction form
    2,359.24/3,538.68 = 972.22/x
  3. Step 3: Cross multiply
    2,359.24x = 3,538.68 × 972.22
  4. Step 4: Simplify right side
    2,359.24x = 3,440,375.47
  5. Step 5: Solve for x
    x = 3,440,375.47/2,359.24
  6. Step 6: Final answer
    x = 1,458.26

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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.