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Finding the Fourth Proportional to 2,524.37, 3,785.96 and 963.80

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Solution

The fourth proportional to 2,524.37, 3,785.96 and 963.80 is: 1,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.37 : 3,785.96 = 963.80 : x
  2. Step 2: Convert to fraction form
    2,524.37/3,785.96 = 963.80/x
  3. Step 3: Cross multiply
    2,524.37x = 3,785.96 × 963.80
  4. Step 4: Simplify right side
    2,524.37x = 3,648,888.11
  5. Step 5: Solve for x
    x = 3,648,888.11/2,524.37
  6. Step 6: Final answer
    x = 1,445.47

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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.