Home / 1,548.24-2,321.78-962.39

Finding the Fourth Proportional to 1,548.24, 2,321.78 and 962.39

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Solution

The fourth proportional to 1,548.24, 2,321.78 and 962.39 is: 1,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.24 : 2,321.78 = 962.39 : x
  2. Step 2: Convert to fraction form
    1,548.24/2,321.78 = 962.39/x
  3. Step 3: Cross multiply
    1,548.24x = 2,321.78 × 962.39
  4. Step 4: Simplify right side
    1,548.24x = 2,234,441.43
  5. Step 5: Solve for x
    x = 2,234,441.43/1,548.24
  6. Step 6: Final answer
    x = 1,443.21

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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.