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Finding the Fourth Proportional to 2,522.36, 3,783.84 and 961.88

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Solution

The fourth proportional to 2,522.36, 3,783.84 and 961.88 is: 1,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.36 : 3,783.84 = 961.88 : x
  2. Step 2: Convert to fraction form
    2,522.36/3,783.84 = 961.88/x
  3. Step 3: Cross multiply
    2,522.36x = 3,783.84 × 961.88
  4. Step 4: Simplify right side
    2,522.36x = 3,639,600.02
  5. Step 5: Solve for x
    x = 3,639,600.02/2,522.36
  6. Step 6: Final answer
    x = 1,442.93

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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.