Home / 2,523.04-3,782.40-962.16

Finding the Fourth Proportional to 2,523.04, 3,782.40 and 962.16

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Solution

The fourth proportional to 2,523.04, 3,782.40 and 962.16 is: 1,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.04 : 3,782.40 = 962.16 : x
  2. Step 2: Convert to fraction form
    2,523.04/3,782.40 = 962.16/x
  3. Step 3: Cross multiply
    2,523.04x = 3,782.40 × 962.16
  4. Step 4: Simplify right side
    2,523.04x = 3,639,273.98
  5. Step 5: Solve for x
    x = 3,639,273.98/2,523.04
  6. Step 6: Final answer
    x = 1,442.42

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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.