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Finding the Fourth Proportional to 2,523.56, 3,784.80 and 963.50

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Solution

The fourth proportional to 2,523.56, 3,784.80 and 963.50 is: 1,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.56 : 3,784.80 = 963.50 : x
  2. Step 2: Convert to fraction form
    2,523.56/3,784.80 = 963.50/x
  3. Step 3: Cross multiply
    2,523.56x = 3,784.80 × 963.50
  4. Step 4: Simplify right side
    2,523.56x = 3,646,654.80
  5. Step 5: Solve for x
    x = 3,646,654.80/2,523.56
  6. Step 6: Final answer
    x = 1,445.04

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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.