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Finding the Fourth Proportional to 2,613.42, 3,919.20 and 1,624.71

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Solution

The fourth proportional to 2,613.42, 3,919.20 and 1,624.71 is: 2,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.42 : 3,919.20 = 1,624.71 : x
  2. Step 2: Convert to fraction form
    2,613.42/3,919.20 = 1,624.71/x
  3. Step 3: Cross multiply
    2,613.42x = 3,919.20 × 1,624.71
  4. Step 4: Simplify right side
    2,613.42x = 6,367,563.43
  5. Step 5: Solve for x
    x = 6,367,563.43/2,613.42
  6. Step 6: Final answer
    x = 2,436.49

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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.