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Finding the Fourth Proportional to 2,494.91, 3,742.04 and 645.86

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Solution

The fourth proportional to 2,494.91, 3,742.04 and 645.86 is: 968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.91 : 3,742.04 = 645.86 : x
  2. Step 2: Convert to fraction form
    2,494.91/3,742.04 = 645.86/x
  3. Step 3: Cross multiply
    2,494.91x = 3,742.04 × 645.86
  4. Step 4: Simplify right side
    2,494.91x = 2,416,844.92
  5. Step 5: Solve for x
    x = 2,416,844.92/2,494.91
  6. Step 6: Final answer
    x = 968.71

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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.