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Finding the Fourth Proportional to 1,613.91, 2,226 and 1,015.83

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Solution

The fourth proportional to 1,613.91, 2,226 and 1,015.83 is: 1,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.91 : 2,226 = 1,015.83 : x
  2. Step 2: Convert to fraction form
    1,613.91/2,226 = 1,015.83/x
  3. Step 3: Cross multiply
    1,613.91x = 2,226 × 1,015.83
  4. Step 4: Simplify right side
    1,613.91x = 2,261,237.58
  5. Step 5: Solve for x
    x = 2,261,237.58/1,613.91
  6. Step 6: Final answer
    x = 1,401.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.