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Finding the Fourth Proportional to 2,524.80, 3,785.76 and 964.74

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Solution

The fourth proportional to 2,524.80, 3,785.76 and 964.74 is: 1,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.80 : 3,785.76 = 964.74 : x
  2. Step 2: Convert to fraction form
    2,524.80/3,785.76 = 964.74/x
  3. Step 3: Cross multiply
    2,524.80x = 3,785.76 × 964.74
  4. Step 4: Simplify right side
    2,524.80x = 3,652,274.10
  5. Step 5: Solve for x
    x = 3,652,274.10/2,524.80
  6. Step 6: Final answer
    x = 1,446.56

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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.