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Finding the Fourth Proportional to 1,613.17, 2,226.33 and 950.23

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Solution

The fourth proportional to 1,613.17, 2,226.33 and 950.23 is: 1,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.17 : 2,226.33 = 950.23 : x
  2. Step 2: Convert to fraction form
    1,613.17/2,226.33 = 950.23/x
  3. Step 3: Cross multiply
    1,613.17x = 2,226.33 × 950.23
  4. Step 4: Simplify right side
    1,613.17x = 2,115,519.99
  5. Step 5: Solve for x
    x = 2,115,519.99/1,613.17
  6. Step 6: Final answer
    x = 1,311.41

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