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Finding the Fourth Proportional to 1,613.16, 2,226.19 and 905.16

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Solution

The fourth proportional to 1,613.16, 2,226.19 and 905.16 is: 1,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.16 : 2,226.19 = 905.16 : x
  2. Step 2: Convert to fraction form
    1,613.16/2,226.19 = 905.16/x
  3. Step 3: Cross multiply
    1,613.16x = 2,226.19 × 905.16
  4. Step 4: Simplify right side
    1,613.16x = 2,015,058.14
  5. Step 5: Solve for x
    x = 2,015,058.14/1,613.16
  6. Step 6: Final answer
    x = 1,249.14

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1.5x scale

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.