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Finding the Fourth Proportional to 1,613.42, 2,419.90 and 517.64

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Solution

The fourth proportional to 1,613.42, 2,419.90 and 517.64 is: 776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.42 : 2,419.90 = 517.64 : x
  2. Step 2: Convert to fraction form
    1,613.42/2,419.90 = 517.64/x
  3. Step 3: Cross multiply
    1,613.42x = 2,419.90 × 517.64
  4. Step 4: Simplify right side
    1,613.42x = 1,252,643.73
  5. Step 5: Solve for x
    x = 1,252,643.73/1,613.42
  6. Step 6: Final answer
    x = 776.39

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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.