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Finding the Fourth Proportional to 1,613.68, 2,227.06 and 905.71

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Solution

The fourth proportional to 1,613.68, 2,227.06 and 905.71 is: 1,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.68 : 2,227.06 = 905.71 : x
  2. Step 2: Convert to fraction form
    1,613.68/2,227.06 = 905.71/x
  3. Step 3: Cross multiply
    1,613.68x = 2,227.06 × 905.71
  4. Step 4: Simplify right side
    1,613.68x = 2,017,065.98
  5. Step 5: Solve for x
    x = 2,017,065.98/1,613.68
  6. Step 6: Final answer
    x = 1,249.98

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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.