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Finding the Fourth Proportional to 1,613.76, 2,226.46 and 905.50

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Solution

The fourth proportional to 1,613.76, 2,226.46 and 905.50 is: 1,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.76 : 2,226.46 = 905.50 : x
  2. Step 2: Convert to fraction form
    1,613.76/2,226.46 = 905.50/x
  3. Step 3: Cross multiply
    1,613.76x = 2,226.46 × 905.50
  4. Step 4: Simplify right side
    1,613.76x = 2,016,059.53
  5. Step 5: Solve for x
    x = 2,016,059.53/1,613.76
  6. Step 6: Final answer
    x = 1,249.29

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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.