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Finding the Fourth Proportional to 2,523.74, 3,785.99 and 792.50

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Solution

The fourth proportional to 2,523.74, 3,785.99 and 792.50 is: 1,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.74 : 3,785.99 = 792.50 : x
  2. Step 2: Convert to fraction form
    2,523.74/3,785.99 = 792.50/x
  3. Step 3: Cross multiply
    2,523.74x = 3,785.99 × 792.50
  4. Step 4: Simplify right side
    2,523.74x = 3,000,397.08
  5. Step 5: Solve for x
    x = 3,000,397.08/2,523.74
  6. Step 6: Final answer
    x = 1,188.87

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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.