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Finding the Fourth Proportional to 1,613.94, 2,419.35 and 517.61

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Solution

The fourth proportional to 1,613.94, 2,419.35 and 517.61 is: 775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.94 : 2,419.35 = 517.61 : x
  2. Step 2: Convert to fraction form
    1,613.94/2,419.35 = 517.61/x
  3. Step 3: Cross multiply
    1,613.94x = 2,419.35 × 517.61
  4. Step 4: Simplify right side
    1,613.94x = 1,252,267.66
  5. Step 5: Solve for x
    x = 1,252,267.66/1,613.94
  6. Step 6: Final answer
    x = 775.91

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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.