Home / 2,423.12-3,635.30-962.28

Finding the Fourth Proportional to 2,423.12, 3,635.30 and 962.28

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Solution

The fourth proportional to 2,423.12, 3,635.30 and 962.28 is: 1,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.12 : 3,635.30 = 962.28 : x
  2. Step 2: Convert to fraction form
    2,423.12/3,635.30 = 962.28/x
  3. Step 3: Cross multiply
    2,423.12x = 3,635.30 × 962.28
  4. Step 4: Simplify right side
    2,423.12x = 3,498,176.48
  5. Step 5: Solve for x
    x = 3,498,176.48/2,423.12
  6. Step 6: Final answer
    x = 1,443.67

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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.