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Finding the Fourth Proportional to 1,613.08, 2,226.39 and 950.10

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Solution

The fourth proportional to 1,613.08, 2,226.39 and 950.10 is: 1,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.08 : 2,226.39 = 950.10 : x
  2. Step 2: Convert to fraction form
    1,613.08/2,226.39 = 950.10/x
  3. Step 3: Cross multiply
    1,613.08x = 2,226.39 × 950.10
  4. Step 4: Simplify right side
    1,613.08x = 2,115,281.23
  5. Step 5: Solve for x
    x = 2,115,281.23/1,613.08
  6. Step 6: Final answer
    x = 1,311.33

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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.