Home / 2,423.41-3,634.57-962.17

Finding the Fourth Proportional to 2,423.41, 3,634.57 and 962.17

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Solution

The fourth proportional to 2,423.41, 3,634.57 and 962.17 is: 1,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.41 : 3,634.57 = 962.17 : x
  2. Step 2: Convert to fraction form
    2,423.41/3,634.57 = 962.17/x
  3. Step 3: Cross multiply
    2,423.41x = 3,634.57 × 962.17
  4. Step 4: Simplify right side
    2,423.41x = 3,497,074.22
  5. Step 5: Solve for x
    x = 3,497,074.22/2,423.41
  6. Step 6: Final answer
    x = 1,443.04

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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.