Home / 2,424.29-3,633.21-962.64

Finding the Fourth Proportional to 2,424.29, 3,633.21 and 962.64

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Solution

The fourth proportional to 2,424.29, 3,633.21 and 962.64 is: 1,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.29 : 3,633.21 = 962.64 : x
  2. Step 2: Convert to fraction form
    2,424.29/3,633.21 = 962.64/x
  3. Step 3: Cross multiply
    2,424.29x = 3,633.21 × 962.64
  4. Step 4: Simplify right side
    2,424.29x = 3,497,473.27
  5. Step 5: Solve for x
    x = 3,497,473.27/2,424.29
  6. Step 6: Final answer
    x = 1,442.68

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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.